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Finding the Fourth Proportional to 3,374, 5,060.46 and 2,397.14

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Solution

The fourth proportional to 3,374, 5,060.46 and 2,397.14 is: 3,595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374 : 5,060.46 = 2,397.14 : x
  2. Step 2: Convert to fraction form
    3,374/5,060.46 = 2,397.14/x
  3. Step 3: Cross multiply
    3,374x = 5,060.46 × 2,397.14
  4. Step 4: Simplify right side
    3,374x = 12,130,631.08
  5. Step 5: Solve for x
    x = 12,130,631.08/3,374
  6. Step 6: Final answer
    x = 3,595.33

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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.