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Finding the Fourth Proportional to 5,902.38, 8,807.90 and 5,247.90

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Solution

The fourth proportional to 5,902.38, 8,807.90 and 5,247.90 is: 7,831.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.38 : 8,807.90 = 5,247.90 : x
  2. Step 2: Convert to fraction form
    5,902.38/8,807.90 = 5,247.90/x
  3. Step 3: Cross multiply
    5,902.38x = 8,807.90 × 5,247.90
  4. Step 4: Simplify right side
    5,902.38x = 46,222,952.17
  5. Step 5: Solve for x
    x = 46,222,952.17/5,902.38
  6. Step 6: Final answer
    x = 7,831.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.