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Finding the Fourth Proportional to 3,231.60, 4,847.40 and 2,972.40

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Solution

The fourth proportional to 3,231.60, 4,847.40 and 2,972.40 is: 4,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.60 : 4,847.40 = 2,972.40 : x
  2. Step 2: Convert to fraction form
    3,231.60/4,847.40 = 2,972.40/x
  3. Step 3: Cross multiply
    3,231.60x = 4,847.40 × 2,972.40
  4. Step 4: Simplify right side
    3,231.60x = 14,408,411.76
  5. Step 5: Solve for x
    x = 14,408,411.76/3,231.60
  6. Step 6: Final answer
    x = 4,458.60

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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.