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Finding the Fourth Proportional to 5,225.73, 7,839.11 and 1,527.87

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Solution

The fourth proportional to 5,225.73, 7,839.11 and 1,527.87 is: 2,291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.73 : 7,839.11 = 1,527.87 : x
  2. Step 2: Convert to fraction form
    5,225.73/7,839.11 = 1,527.87/x
  3. Step 3: Cross multiply
    5,225.73x = 7,839.11 × 1,527.87
  4. Step 4: Simplify right side
    5,225.73x = 11,977,141.00
  5. Step 5: Solve for x
    x = 11,977,141.00/5,225.73
  6. Step 6: Final answer
    x = 2,291.96

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Why These Related Problems?

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