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Finding the Fourth Proportional to 5,693.52, 7,855.32 and 3,456.72

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Solution

The fourth proportional to 5,693.52, 7,855.32 and 3,456.72 is: 4,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.52 : 7,855.32 = 3,456.72 : x
  2. Step 2: Convert to fraction form
    5,693.52/7,855.32 = 3,456.72/x
  3. Step 3: Cross multiply
    5,693.52x = 7,855.32 × 3,456.72
  4. Step 4: Simplify right side
    5,693.52x = 27,153,641.75
  5. Step 5: Solve for x
    x = 27,153,641.75/5,693.52
  6. Step 6: Final answer
    x = 4,769.22

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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.