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Finding the Fourth Proportional to 5,831.98, 8,747.76 and 1,672.02

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Solution

The fourth proportional to 5,831.98, 8,747.76 and 1,672.02 is: 2,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.98 : 8,747.76 = 1,672.02 : x
  2. Step 2: Convert to fraction form
    5,831.98/8,747.76 = 1,672.02/x
  3. Step 3: Cross multiply
    5,831.98x = 8,747.76 × 1,672.02
  4. Step 4: Simplify right side
    5,831.98x = 14,626,429.68
  5. Step 5: Solve for x
    x = 14,626,429.68/5,831.98
  6. Step 6: Final answer
    x = 2,507.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.