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Finding the Fourth Proportional to 5,652.47, 7,798.80 and 3,294.16

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Solution

The fourth proportional to 5,652.47, 7,798.80 and 3,294.16 is: 4,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.47 : 7,798.80 = 3,294.16 : x
  2. Step 2: Convert to fraction form
    5,652.47/7,798.80 = 3,294.16/x
  3. Step 3: Cross multiply
    5,652.47x = 7,798.80 × 3,294.16
  4. Step 4: Simplify right side
    5,652.47x = 25,690,495.01
  5. Step 5: Solve for x
    x = 25,690,495.01/5,652.47
  6. Step 6: Final answer
    x = 4,545.00

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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.