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Finding the Fourth Proportional to 5,824.98, 8,737.74 and 2,538

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Solution

The fourth proportional to 5,824.98, 8,737.74 and 2,538 is: 3,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.98 : 8,737.74 = 2,538 : x
  2. Step 2: Convert to fraction form
    5,824.98/8,737.74 = 2,538/x
  3. Step 3: Cross multiply
    5,824.98x = 8,737.74 × 2,538
  4. Step 4: Simplify right side
    5,824.98x = 22,176,384.12
  5. Step 5: Solve for x
    x = 22,176,384.12/5,824.98
  6. Step 6: Final answer
    x = 3,807.12

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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.