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Finding the Fourth Proportional to 4,337.60, 6,496.80 and 2,283.20

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Solution

The fourth proportional to 4,337.60, 6,496.80 and 2,283.20 is: 3,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.60 : 6,496.80 = 2,283.20 : x
  2. Step 2: Convert to fraction form
    4,337.60/6,496.80 = 2,283.20/x
  3. Step 3: Cross multiply
    4,337.60x = 6,496.80 × 2,283.20
  4. Step 4: Simplify right side
    4,337.60x = 14,833,493.76
  5. Step 5: Solve for x
    x = 14,833,493.76/4,337.60
  6. Step 6: Final answer
    x = 3,419.75

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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.