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Finding the Fourth Proportional to 3,397.91, 5,089.95 and 3,114.41

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Solution

The fourth proportional to 3,397.91, 5,089.95 and 3,114.41 is: 4,665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.91 : 5,089.95 = 3,114.41 : x
  2. Step 2: Convert to fraction form
    3,397.91/5,089.95 = 3,114.41/x
  3. Step 3: Cross multiply
    3,397.91x = 5,089.95 × 3,114.41
  4. Step 4: Simplify right side
    3,397.91x = 15,852,175.61
  5. Step 5: Solve for x
    x = 15,852,175.61/3,397.91
  6. Step 6: Final answer
    x = 4,665.27

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1.5x scale

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.