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Finding the Fourth Proportional to 5,740.65, 7,923.78 and 3,751.52

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Solution

The fourth proportional to 5,740.65, 7,923.78 and 3,751.52 is: 5,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.65 : 7,923.78 = 3,751.52 : x
  2. Step 2: Convert to fraction form
    5,740.65/7,923.78 = 3,751.52/x
  3. Step 3: Cross multiply
    5,740.65x = 7,923.78 × 3,751.52
  4. Step 4: Simplify right side
    5,740.65x = 29,726,179.53
  5. Step 5: Solve for x
    x = 29,726,179.53/5,740.65
  6. Step 6: Final answer
    x = 5,178.19

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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.