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Finding the Fourth Proportional to 5,050.38, 6,970.38 and 3,727.92

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Solution

The fourth proportional to 5,050.38, 6,970.38 and 3,727.92 is: 5,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050.38 : 6,970.38 = 3,727.92 : x
  2. Step 2: Convert to fraction form
    5,050.38/6,970.38 = 3,727.92/x
  3. Step 3: Cross multiply
    5,050.38x = 6,970.38 × 3,727.92
  4. Step 4: Simplify right side
    5,050.38x = 25,985,041.65
  5. Step 5: Solve for x
    x = 25,985,041.65/5,050.38
  6. Step 6: Final answer
    x = 5,145.17

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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.