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Finding the Fourth Proportional to 5,838.78, 8,722.05 and 5,252.88

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Solution

The fourth proportional to 5,838.78, 8,722.05 and 5,252.88 is: 7,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.78 : 8,722.05 = 5,252.88 : x
  2. Step 2: Convert to fraction form
    5,838.78/8,722.05 = 5,252.88/x
  3. Step 3: Cross multiply
    5,838.78x = 8,722.05 × 5,252.88
  4. Step 4: Simplify right side
    5,838.78x = 45,815,882.00
  5. Step 5: Solve for x
    x = 45,815,882.00/5,838.78
  6. Step 6: Final answer
    x = 7,846.82

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