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Finding the Fourth Proportional to 3,523.67, 5,285.42 and 1,058.43

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Solution

The fourth proportional to 3,523.67, 5,285.42 and 1,058.43 is: 1,587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.67 : 5,285.42 = 1,058.43 : x
  2. Step 2: Convert to fraction form
    3,523.67/5,285.42 = 1,058.43/x
  3. Step 3: Cross multiply
    3,523.67x = 5,285.42 × 1,058.43
  4. Step 4: Simplify right side
    3,523.67x = 5,594,247.09
  5. Step 5: Solve for x
    x = 5,594,247.09/3,523.67
  6. Step 6: Final answer
    x = 1,587.62

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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.