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Finding the Fourth Proportional to 3,523.75, 5,285.42 and 1,058.52

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Solution

The fourth proportional to 3,523.75, 5,285.42 and 1,058.52 is: 1,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.75 : 5,285.42 = 1,058.52 : x
  2. Step 2: Convert to fraction form
    3,523.75/5,285.42 = 1,058.52/x
  3. Step 3: Cross multiply
    3,523.75x = 5,285.42 × 1,058.52
  4. Step 4: Simplify right side
    3,523.75x = 5,594,699.00
  5. Step 5: Solve for x
    x = 5,594,699.00/3,523.75
  6. Step 6: Final answer
    x = 1,587.71

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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.