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Finding the Fourth Proportional to 5,223.75, 7,838.87 and 4,685.91

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Solution

The fourth proportional to 5,223.75, 7,838.87 and 4,685.91 is: 7,031.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.75 : 7,838.87 = 4,685.91 : x
  2. Step 2: Convert to fraction form
    5,223.75/7,838.87 = 4,685.91/x
  3. Step 3: Cross multiply
    5,223.75x = 7,838.87 × 4,685.91
  4. Step 4: Simplify right side
    5,223.75x = 36,732,253.06
  5. Step 5: Solve for x
    x = 36,732,253.06/5,223.75
  6. Step 6: Final answer
    x = 7,031.78

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