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Finding the Fourth Proportional to 4,977.06, 7,466.07 and 1,856.33

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Solution

The fourth proportional to 4,977.06, 7,466.07 and 1,856.33 is: 2,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.06 : 7,466.07 = 1,856.33 : x
  2. Step 2: Convert to fraction form
    4,977.06/7,466.07 = 1,856.33/x
  3. Step 3: Cross multiply
    4,977.06x = 7,466.07 × 1,856.33
  4. Step 4: Simplify right side
    4,977.06x = 13,859,489.72
  5. Step 5: Solve for x
    x = 13,859,489.72/4,977.06
  6. Step 6: Final answer
    x = 2,784.67

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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.