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Finding the Fourth Proportional to 5,834.70, 8,052.66 and 3,710.43

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Solution

The fourth proportional to 5,834.70, 8,052.66 and 3,710.43 is: 5,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.70 : 8,052.66 = 3,710.43 : x
  2. Step 2: Convert to fraction form
    5,834.70/8,052.66 = 3,710.43/x
  3. Step 3: Cross multiply
    5,834.70x = 8,052.66 × 3,710.43
  4. Step 4: Simplify right side
    5,834.70x = 29,878,831.24
  5. Step 5: Solve for x
    x = 29,878,831.24/5,834.70
  6. Step 6: Final answer
    x = 5,120.89

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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.