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Finding the Fourth Proportional to 3,537.83, 5,304.71 and 3,138.09

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Solution

The fourth proportional to 3,537.83, 5,304.71 and 3,138.09 is: 4,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.83 : 5,304.71 = 3,138.09 : x
  2. Step 2: Convert to fraction form
    3,537.83/5,304.71 = 3,138.09/x
  3. Step 3: Cross multiply
    3,537.83x = 5,304.71 × 3,138.09
  4. Step 4: Simplify right side
    3,537.83x = 16,646,641.71
  5. Step 5: Solve for x
    x = 16,646,641.71/3,537.83
  6. Step 6: Final answer
    x = 4,705.33

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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.