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Finding the Fourth Proportional to 5,737.46, 7,915.20 and 3,498.98

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Solution

The fourth proportional to 5,737.46, 7,915.20 and 3,498.98 is: 4,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.46 : 7,915.20 = 3,498.98 : x
  2. Step 2: Convert to fraction form
    5,737.46/7,915.20 = 3,498.98/x
  3. Step 3: Cross multiply
    5,737.46x = 7,915.20 × 3,498.98
  4. Step 4: Simplify right side
    5,737.46x = 27,695,126.50
  5. Step 5: Solve for x
    x = 27,695,126.50/5,737.46
  6. Step 6: Final answer
    x = 4,827.07

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1.5x scale

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.