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Finding the Fourth Proportional to 5,227.88, 7,840.24 and 2,106.88

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Solution

The fourth proportional to 5,227.88, 7,840.24 and 2,106.88 is: 3,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.88 : 7,840.24 = 2,106.88 : x
  2. Step 2: Convert to fraction form
    5,227.88/7,840.24 = 2,106.88/x
  3. Step 3: Cross multiply
    5,227.88x = 7,840.24 × 2,106.88
  4. Step 4: Simplify right side
    5,227.88x = 16,518,444.85
  5. Step 5: Solve for x
    x = 16,518,444.85/5,227.88
  6. Step 6: Final answer
    x = 3,159.68

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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.