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Finding the Fourth Proportional to 5,242.41, 7,863.64 and 1,544.69

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Solution

The fourth proportional to 5,242.41, 7,863.64 and 1,544.69 is: 2,317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.41 : 7,863.64 = 1,544.69 : x
  2. Step 2: Convert to fraction form
    5,242.41/7,863.64 = 1,544.69/x
  3. Step 3: Cross multiply
    5,242.41x = 7,863.64 × 1,544.69
  4. Step 4: Simplify right side
    5,242.41x = 12,146,842.89
  5. Step 5: Solve for x
    x = 12,146,842.89/5,242.41
  6. Step 6: Final answer
    x = 2,317.03

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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.