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Finding the Fourth Proportional to 3,587.56, 5,381.10 and 1,122.58

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Solution

The fourth proportional to 3,587.56, 5,381.10 and 1,122.58 is: 1,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.56 : 5,381.10 = 1,122.58 : x
  2. Step 2: Convert to fraction form
    3,587.56/5,381.10 = 1,122.58/x
  3. Step 3: Cross multiply
    3,587.56x = 5,381.10 × 1,122.58
  4. Step 4: Simplify right side
    3,587.56x = 6,040,715.24
  5. Step 5: Solve for x
    x = 6,040,715.24/3,587.56
  6. Step 6: Final answer
    x = 1,683.79

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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.