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Finding the Fourth Proportional to 5,726.92, 8,590.41 and 1,566.83

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Solution

The fourth proportional to 5,726.92, 8,590.41 and 1,566.83 is: 2,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.92 : 8,590.41 = 1,566.83 : x
  2. Step 2: Convert to fraction form
    5,726.92/8,590.41 = 1,566.83/x
  3. Step 3: Cross multiply
    5,726.92x = 8,590.41 × 1,566.83
  4. Step 4: Simplify right side
    5,726.92x = 13,459,712.10
  5. Step 5: Solve for x
    x = 13,459,712.10/5,726.92
  6. Step 6: Final answer
    x = 2,350.25

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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.