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Finding the Fourth Proportional to 3,423.60, 5,135.40 and 3,152.88

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Solution

The fourth proportional to 3,423.60, 5,135.40 and 3,152.88 is: 4,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.60 : 5,135.40 = 3,152.88 : x
  2. Step 2: Convert to fraction form
    3,423.60/5,135.40 = 3,152.88/x
  3. Step 3: Cross multiply
    3,423.60x = 5,135.40 × 3,152.88
  4. Step 4: Simplify right side
    3,423.60x = 16,191,299.95
  5. Step 5: Solve for x
    x = 16,191,299.95/3,423.60
  6. Step 6: Final answer
    x = 4,729.32

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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.