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Finding the Fourth Proportional to 4,727.57, 7,092.42 and 1,565.00

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Solution

The fourth proportional to 4,727.57, 7,092.42 and 1,565.00 is: 2,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.57 : 7,092.42 = 1,565.00 : x
  2. Step 2: Convert to fraction form
    4,727.57/7,092.42 = 1,565.00/x
  3. Step 3: Cross multiply
    4,727.57x = 7,092.42 × 1,565.00
  4. Step 4: Simplify right side
    4,727.57x = 11,099,622.57
  5. Step 5: Solve for x
    x = 11,099,622.57/4,727.57
  6. Step 6: Final answer
    x = 2,347.85

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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.