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Finding the Fourth Proportional to 5,378.59, 7,422.10 and 2,988.38

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Solution

The fourth proportional to 5,378.59, 7,422.10 and 2,988.38 is: 4,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.59 : 7,422.10 = 2,988.38 : x
  2. Step 2: Convert to fraction form
    5,378.59/7,422.10 = 2,988.38/x
  3. Step 3: Cross multiply
    5,378.59x = 7,422.10 × 2,988.38
  4. Step 4: Simplify right side
    5,378.59x = 22,180,040.26
  5. Step 5: Solve for x
    x = 22,180,040.26/5,378.59
  6. Step 6: Final answer
    x = 4,123.77

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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.