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Finding the Fourth Proportional to 8,658.40, 12,982.19 and 3,658.20

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Solution

The fourth proportional to 8,658.40, 12,982.19 and 3,658.20 is: 5,485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.40 : 12,982.19 = 3,658.20 : x
  2. Step 2: Convert to fraction form
    8,658.40/12,982.19 = 3,658.20/x
  3. Step 3: Cross multiply
    8,658.40x = 12,982.19 × 3,658.20
  4. Step 4: Simplify right side
    8,658.40x = 47,491,429.17
  5. Step 5: Solve for x
    x = 47,491,429.17/8,658.40
  6. Step 6: Final answer
    x = 5,485.01

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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.