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Finding the Fourth Proportional to 3,688.92, 5,091.78 and 2,430.90

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Solution

The fourth proportional to 3,688.92, 5,091.78 and 2,430.90 is: 3,355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.92 : 5,091.78 = 2,430.90 : x
  2. Step 2: Convert to fraction form
    3,688.92/5,091.78 = 2,430.90/x
  3. Step 3: Cross multiply
    3,688.92x = 5,091.78 × 2,430.90
  4. Step 4: Simplify right side
    3,688.92x = 12,377,608.00
  5. Step 5: Solve for x
    x = 12,377,608.00/3,688.92
  6. Step 6: Final answer
    x = 3,355.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.