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Finding the Fourth Proportional to 4,343.68, 6,515.46 and 1,056.78

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Solution

The fourth proportional to 4,343.68, 6,515.46 and 1,056.78 is: 1,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.68 : 6,515.46 = 1,056.78 : x
  2. Step 2: Convert to fraction form
    4,343.68/6,515.46 = 1,056.78/x
  3. Step 3: Cross multiply
    4,343.68x = 6,515.46 × 1,056.78
  4. Step 4: Simplify right side
    4,343.68x = 6,885,375.24
  5. Step 5: Solve for x
    x = 6,885,375.24/4,343.68
  6. Step 6: Final answer
    x = 1,585.15

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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.