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Finding the Fourth Proportional to 5,527.78, 8,291.70 and 2,449.78

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Solution

The fourth proportional to 5,527.78, 8,291.70 and 2,449.78 is: 3,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.78 : 8,291.70 = 2,449.78 : x
  2. Step 2: Convert to fraction form
    5,527.78/8,291.70 = 2,449.78/x
  3. Step 3: Cross multiply
    5,527.78x = 8,291.70 × 2,449.78
  4. Step 4: Simplify right side
    5,527.78x = 20,312,840.83
  5. Step 5: Solve for x
    x = 20,312,840.83/5,527.78
  6. Step 6: Final answer
    x = 3,674.68

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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.