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Finding the Fourth Proportional to 5,412.30, 7,470.22 and 3,174.89

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Solution

The fourth proportional to 5,412.30, 7,470.22 and 3,174.89 is: 4,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.30 : 7,470.22 = 3,174.89 : x
  2. Step 2: Convert to fraction form
    5,412.30/7,470.22 = 3,174.89/x
  3. Step 3: Cross multiply
    5,412.30x = 7,470.22 × 3,174.89
  4. Step 4: Simplify right side
    5,412.30x = 23,717,110.90
  5. Step 5: Solve for x
    x = 23,717,110.90/5,412.30
  6. Step 6: Final answer
    x = 4,382.08

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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.