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Finding the Fourth Proportional to 4,549,603.92, 6,824,386.32 and 1,853,327.76

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Solution

The fourth proportional to 4,549,603.92, 6,824,386.32 and 1,853,327.76 is: 2,779,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549,603.92 : 6,824,386.32 = 1,853,327.76 : x
  2. Step 2: Convert to fraction form
    4,549,603.92/6,824,386.32 = 1,853,327.76/x
  3. Step 3: Cross multiply
    4,549,603.92x = 6,824,386.32 × 1,853,327.76
  4. Step 4: Simplify right side
    4,549,603.92x = 12,647,824,611,820.24
  5. Step 5: Solve for x
    x = 12,647,824,611,820.24/4,549,603.92
  6. Step 6: Final answer
    x = 2,779,983.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.