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Finding the Fourth Proportional to 3,708, 5,117.28 and 2,052

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Solution

The fourth proportional to 3,708, 5,117.28 and 2,052 is: 2,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708 : 5,117.28 = 2,052 : x
  2. Step 2: Convert to fraction form
    3,708/5,117.28 = 2,052/x
  3. Step 3: Cross multiply
    3,708x = 5,117.28 × 2,052
  4. Step 4: Simplify right side
    3,708x = 10,500,658.56
  5. Step 5: Solve for x
    x = 10,500,658.56/3,708
  6. Step 6: Final answer
    x = 2,831.89

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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.