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Finding the Fourth Proportional to 4,740.92, 6,542.61 and 2,645

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Solution

The fourth proportional to 4,740.92, 6,542.61 and 2,645 is: 3,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.92 : 6,542.61 = 2,645 : x
  2. Step 2: Convert to fraction form
    4,740.92/6,542.61 = 2,645/x
  3. Step 3: Cross multiply
    4,740.92x = 6,542.61 × 2,645
  4. Step 4: Simplify right side
    4,740.92x = 17,305,203.45
  5. Step 5: Solve for x
    x = 17,305,203.45/4,740.92
  6. Step 6: Final answer
    x = 3,650.18

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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.