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Finding the Fourth Proportional to 5,972, 8,243.52 and 3,488

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Solution

The fourth proportional to 5,972, 8,243.52 and 3,488 is: 4,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972 : 8,243.52 = 3,488 : x
  2. Step 2: Convert to fraction form
    5,972/8,243.52 = 3,488/x
  3. Step 3: Cross multiply
    5,972x = 8,243.52 × 3,488
  4. Step 4: Simplify right side
    5,972x = 28,753,397.76
  5. Step 5: Solve for x
    x = 28,753,397.76/5,972
  6. Step 6: Final answer
    x = 4,814.70

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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.