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Finding the Fourth Proportional to 3,531.66, 5,297.66 and 1,585.23

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Solution

The fourth proportional to 3,531.66, 5,297.66 and 1,585.23 is: 2,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.66 : 5,297.66 = 1,585.23 : x
  2. Step 2: Convert to fraction form
    3,531.66/5,297.66 = 1,585.23/x
  3. Step 3: Cross multiply
    3,531.66x = 5,297.66 × 1,585.23
  4. Step 4: Simplify right side
    3,531.66x = 8,398,001.64
  5. Step 5: Solve for x
    x = 8,398,001.64/3,531.66
  6. Step 6: Final answer
    x = 2,377.92

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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.