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Finding the Fourth Proportional to 5,242.44, 7,864.86 and 1,544.52

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Solution

The fourth proportional to 5,242.44, 7,864.86 and 1,544.52 is: 2,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.44 : 7,864.86 = 1,544.52 : x
  2. Step 2: Convert to fraction form
    5,242.44/7,864.86 = 1,544.52/x
  3. Step 3: Cross multiply
    5,242.44x = 7,864.86 × 1,544.52
  4. Step 4: Simplify right side
    5,242.44x = 12,147,433.57
  5. Step 5: Solve for x
    x = 12,147,433.57/5,242.44
  6. Step 6: Final answer
    x = 2,317.13

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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.