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Finding the Fourth Proportional to 5,239.93, 7,860.09 and 1,542.16

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Solution

The fourth proportional to 5,239.93, 7,860.09 and 1,542.16 is: 2,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.93 : 7,860.09 = 1,542.16 : x
  2. Step 2: Convert to fraction form
    5,239.93/7,860.09 = 1,542.16/x
  3. Step 3: Cross multiply
    5,239.93x = 7,860.09 × 1,542.16
  4. Step 4: Simplify right side
    5,239.93x = 12,121,516.39
  5. Step 5: Solve for x
    x = 12,121,516.39/5,239.93
  6. Step 6: Final answer
    x = 2,313.30

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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.