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Finding the Fourth Proportional to 5,092.71, 7,641.86 and 2,133.20

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Solution

The fourth proportional to 5,092.71, 7,641.86 and 2,133.20 is: 3,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.71 : 7,641.86 = 2,133.20 : x
  2. Step 2: Convert to fraction form
    5,092.71/7,641.86 = 2,133.20/x
  3. Step 3: Cross multiply
    5,092.71x = 7,641.86 × 2,133.20
  4. Step 4: Simplify right side
    5,092.71x = 16,301,594.95
  5. Step 5: Solve for x
    x = 16,301,594.95/5,092.71
  6. Step 6: Final answer
    x = 3,200.97

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