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Finding the Fourth Proportional to 5,524.76, 8,287.14 and 1,364.78

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Solution

The fourth proportional to 5,524.76, 8,287.14 and 1,364.78 is: 2,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.76 : 8,287.14 = 1,364.78 : x
  2. Step 2: Convert to fraction form
    5,524.76/8,287.14 = 1,364.78/x
  3. Step 3: Cross multiply
    5,524.76x = 8,287.14 × 1,364.78
  4. Step 4: Simplify right side
    5,524.76x = 11,310,122.93
  5. Step 5: Solve for x
    x = 11,310,122.93/5,524.76
  6. Step 6: Final answer
    x = 2,047.17

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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.