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Finding the Fourth Proportional to 5,715.25, 8,568.26 and 5,253.93

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Solution

The fourth proportional to 5,715.25, 8,568.26 and 5,253.93 is: 7,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.25 : 8,568.26 = 5,253.93 : x
  2. Step 2: Convert to fraction form
    5,715.25/8,568.26 = 5,253.93/x
  3. Step 3: Cross multiply
    5,715.25x = 8,568.26 × 5,253.93
  4. Step 4: Simplify right side
    5,715.25x = 45,016,971.83
  5. Step 5: Solve for x
    x = 45,016,971.83/5,715.25
  6. Step 6: Final answer
    x = 7,876.65

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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.