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Finding the Fourth Proportional to 3,523.56, 5,285.34 and 1,058.42

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Solution

The fourth proportional to 3,523.56, 5,285.34 and 1,058.42 is: 1,587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.56 : 5,285.34 = 1,058.42 : x
  2. Step 2: Convert to fraction form
    3,523.56/5,285.34 = 1,058.42/x
  3. Step 3: Cross multiply
    3,523.56x = 5,285.34 × 1,058.42
  4. Step 4: Simplify right side
    3,523.56x = 5,594,083.14
  5. Step 5: Solve for x
    x = 5,594,083.14/3,523.56
  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.