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Finding the Fourth Proportional to 5,087.28, 7,594.26 and 4,431

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Solution

The fourth proportional to 5,087.28, 7,594.26 and 4,431 is: 6,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.28 : 7,594.26 = 4,431 : x
  2. Step 2: Convert to fraction form
    5,087.28/7,594.26 = 4,431/x
  3. Step 3: Cross multiply
    5,087.28x = 7,594.26 × 4,431
  4. Step 4: Simplify right side
    5,087.28x = 33,650,166.06
  5. Step 5: Solve for x
    x = 33,650,166.06/5,087.28
  6. Step 6: Final answer
    x = 6,614.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.