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Finding the Fourth Proportional to 3,386, 5,079.64 and 1,562

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Solution

The fourth proportional to 3,386, 5,079.64 and 1,562 is: 2,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386 : 5,079.64 = 1,562 : x
  2. Step 2: Convert to fraction form
    3,386/5,079.64 = 1,562/x
  3. Step 3: Cross multiply
    3,386x = 5,079.64 × 1,562
  4. Step 4: Simplify right side
    3,386x = 7,934,397.68
  5. Step 5: Solve for x
    x = 7,934,397.68/3,386
  6. Step 6: Final answer
    x = 2,343.30

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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.