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Finding the Fourth Proportional to 5,400.74, 7,456.25 and 3,907.10

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Solution

The fourth proportional to 5,400.74, 7,456.25 and 3,907.10 is: 5,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.74 : 7,456.25 = 3,907.10 : x
  2. Step 2: Convert to fraction form
    5,400.74/7,456.25 = 3,907.10/x
  3. Step 3: Cross multiply
    5,400.74x = 7,456.25 × 3,907.10
  4. Step 4: Simplify right side
    5,400.74x = 29,132,314.38
  5. Step 5: Solve for x
    x = 29,132,314.38/5,400.74
  6. Step 6: Final answer
    x = 5,394.13

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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.