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Finding the Fourth Proportional to 5,087.97, 7,641.98 and 4,869.27

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Solution

The fourth proportional to 5,087.97, 7,641.98 and 4,869.27 is: 7,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.97 : 7,641.98 = 4,869.27 : x
  2. Step 2: Convert to fraction form
    5,087.97/7,641.98 = 4,869.27/x
  3. Step 3: Cross multiply
    5,087.97x = 7,641.98 × 4,869.27
  4. Step 4: Simplify right side
    5,087.97x = 37,210,857.87
  5. Step 5: Solve for x
    x = 37,210,857.87/5,087.97
  6. Step 6: Final answer
    x = 7,313.50

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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.