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Finding the Fourth Proportional to 5,978.40, 8,966.38 and 3,348.53

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Solution

The fourth proportional to 5,978.40, 8,966.38 and 3,348.53 is: 5,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.40 : 8,966.38 = 3,348.53 : x
  2. Step 2: Convert to fraction form
    5,978.40/8,966.38 = 3,348.53/x
  3. Step 3: Cross multiply
    5,978.40x = 8,966.38 × 3,348.53
  4. Step 4: Simplify right side
    5,978.40x = 30,024,192.42
  5. Step 5: Solve for x
    x = 30,024,192.42/5,978.40
  6. Step 6: Final answer
    x = 5,022.11

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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.