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Finding the Fourth Proportional to 4,864.88, 6,711.24 and 3,538

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Solution

The fourth proportional to 4,864.88, 6,711.24 and 3,538 is: 4,880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.88 : 6,711.24 = 3,538 : x
  2. Step 2: Convert to fraction form
    4,864.88/6,711.24 = 3,538/x
  3. Step 3: Cross multiply
    4,864.88x = 6,711.24 × 3,538
  4. Step 4: Simplify right side
    4,864.88x = 23,744,367.12
  5. Step 5: Solve for x
    x = 23,744,367.12/4,864.88
  6. Step 6: Final answer
    x = 4,880.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.