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Finding the Fourth Proportional to 5,097.68, 7,639.84 and 4,436.72

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Solution

The fourth proportional to 5,097.68, 7,639.84 and 4,436.72 is: 6,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.68 : 7,639.84 = 4,436.72 : x
  2. Step 2: Convert to fraction form
    5,097.68/7,639.84 = 4,436.72/x
  3. Step 3: Cross multiply
    5,097.68x = 7,639.84 × 4,436.72
  4. Step 4: Simplify right side
    5,097.68x = 33,895,830.92
  5. Step 5: Solve for x
    x = 33,895,830.92/5,097.68
  6. Step 6: Final answer
    x = 6,649.27

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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.