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Finding the Fourth Proportional to 4,477.92, 6,713.67 and 2,104.67

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Solution

The fourth proportional to 4,477.92, 6,713.67 and 2,104.67 is: 3,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.92 : 6,713.67 = 2,104.67 : x
  2. Step 2: Convert to fraction form
    4,477.92/6,713.67 = 2,104.67/x
  3. Step 3: Cross multiply
    4,477.92x = 6,713.67 × 2,104.67
  4. Step 4: Simplify right side
    4,477.92x = 14,130,059.84
  5. Step 5: Solve for x
    x = 14,130,059.84/4,477.92
  6. Step 6: Final answer
    x = 3,155.50

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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.