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Finding the Fourth Proportional to 4,306.60, 6,459.90 and 4,282.30

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Solution

The fourth proportional to 4,306.60, 6,459.90 and 4,282.30 is: 6,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.60 : 6,459.90 = 4,282.30 : x
  2. Step 2: Convert to fraction form
    4,306.60/6,459.90 = 4,282.30/x
  3. Step 3: Cross multiply
    4,306.60x = 6,459.90 × 4,282.30
  4. Step 4: Simplify right side
    4,306.60x = 27,663,229.77
  5. Step 5: Solve for x
    x = 27,663,229.77/4,306.60
  6. Step 6: Final answer
    x = 6,423.45

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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.