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Finding the Fourth Proportional to 4,343.76, 6,515.96 and 1,532.25

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Solution

The fourth proportional to 4,343.76, 6,515.96 and 1,532.25 is: 2,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.76 : 6,515.96 = 1,532.25 : x
  2. Step 2: Convert to fraction form
    4,343.76/6,515.96 = 1,532.25/x
  3. Step 3: Cross multiply
    4,343.76x = 6,515.96 × 1,532.25
  4. Step 4: Simplify right side
    4,343.76x = 9,984,072.05
  5. Step 5: Solve for x
    x = 9,984,072.05/4,343.76
  6. Step 6: Final answer
    x = 2,298.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.