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Finding the Fourth Proportional to 4,375.84, 6,567 and 2,429.68

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Solution

The fourth proportional to 4,375.84, 6,567 and 2,429.68 is: 3,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375.84 : 6,567 = 2,429.68 : x
  2. Step 2: Convert to fraction form
    4,375.84/6,567 = 2,429.68/x
  3. Step 3: Cross multiply
    4,375.84x = 6,567 × 2,429.68
  4. Step 4: Simplify right side
    4,375.84x = 15,955,708.56
  5. Step 5: Solve for x
    x = 15,955,708.56/4,375.84
  6. Step 6: Final answer
    x = 3,646.32

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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.