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Finding the Fourth Proportional to 3,658.41, 5,487.76 and 1,061.34

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Solution

The fourth proportional to 3,658.41, 5,487.76 and 1,061.34 is: 1,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.41 : 5,487.76 = 1,061.34 : x
  2. Step 2: Convert to fraction form
    3,658.41/5,487.76 = 1,061.34/x
  3. Step 3: Cross multiply
    3,658.41x = 5,487.76 × 1,061.34
  4. Step 4: Simplify right side
    3,658.41x = 5,824,401.10
  5. Step 5: Solve for x
    x = 5,824,401.10/3,658.41
  6. Step 6: Final answer
    x = 1,592.06

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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.