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Finding the Fourth Proportional to 5,346.46, 7,377.64 and 2,988.15

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Solution

The fourth proportional to 5,346.46, 7,377.64 and 2,988.15 is: 4,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.46 : 7,377.64 = 2,988.15 : x
  2. Step 2: Convert to fraction form
    5,346.46/7,377.64 = 2,988.15/x
  3. Step 3: Cross multiply
    5,346.46x = 7,377.64 × 2,988.15
  4. Step 4: Simplify right side
    5,346.46x = 22,045,494.97
  5. Step 5: Solve for x
    x = 22,045,494.97/5,346.46
  6. Step 6: Final answer
    x = 4,123.38

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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.