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Finding the Fourth Proportional to 5,069.38, 6,995.86 and 2,831.15

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Solution

The fourth proportional to 5,069.38, 6,995.86 and 2,831.15 is: 3,907.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.38 : 6,995.86 = 2,831.15 : x
  2. Step 2: Convert to fraction form
    5,069.38/6,995.86 = 2,831.15/x
  3. Step 3: Cross multiply
    5,069.38x = 6,995.86 × 2,831.15
  4. Step 4: Simplify right side
    5,069.38x = 19,806,329.04
  5. Step 5: Solve for x
    x = 19,806,329.04/5,069.38
  6. Step 6: Final answer
    x = 3,907.05

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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.