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Finding the Fourth Proportional to 3,321.60, 4,972.56 and 2,459.76

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Solution

The fourth proportional to 3,321.60, 4,972.56 and 2,459.76 is: 3,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.60 : 4,972.56 = 2,459.76 : x
  2. Step 2: Convert to fraction form
    3,321.60/4,972.56 = 2,459.76/x
  3. Step 3: Cross multiply
    3,321.60x = 4,972.56 × 2,459.76
  4. Step 4: Simplify right side
    3,321.60x = 12,231,304.19
  5. Step 5: Solve for x
    x = 12,231,304.19/3,321.60
  6. Step 6: Final answer
    x = 3,682.35

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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.