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Finding the Fourth Proportional to 3,742.38, 5,162.13 and 2,482.02

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Solution

The fourth proportional to 3,742.38, 5,162.13 and 2,482.02 is: 3,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.38 : 5,162.13 = 2,482.02 : x
  2. Step 2: Convert to fraction form
    3,742.38/5,162.13 = 2,482.02/x
  3. Step 3: Cross multiply
    3,742.38x = 5,162.13 × 2,482.02
  4. Step 4: Simplify right side
    3,742.38x = 12,812,509.90
  5. Step 5: Solve for x
    x = 12,812,509.90/3,742.38
  6. Step 6: Final answer
    x = 3,423.63

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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.