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Finding the Fourth Proportional to 5,470.38, 7,549.68 and 3,232.98

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Solution

The fourth proportional to 5,470.38, 7,549.68 and 3,232.98 is: 4,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.38 : 7,549.68 = 3,232.98 : x
  2. Step 2: Convert to fraction form
    5,470.38/7,549.68 = 3,232.98/x
  3. Step 3: Cross multiply
    5,470.38x = 7,549.68 × 3,232.98
  4. Step 4: Simplify right side
    5,470.38x = 24,407,964.45
  5. Step 5: Solve for x
    x = 24,407,964.45/5,470.38
  6. Step 6: Final answer
    x = 4,461.84

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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.