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Finding the Fourth Proportional to 5,726.57, 8,590.25 and 1,566.88

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Solution

The fourth proportional to 5,726.57, 8,590.25 and 1,566.88 is: 2,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.57 : 8,590.25 = 1,566.88 : x
  2. Step 2: Convert to fraction form
    5,726.57/8,590.25 = 1,566.88/x
  3. Step 3: Cross multiply
    5,726.57x = 8,590.25 × 1,566.88
  4. Step 4: Simplify right side
    5,726.57x = 13,459,873.36
  5. Step 5: Solve for x
    x = 13,459,873.36/5,726.57
  6. Step 6: Final answer
    x = 2,350.43

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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.