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Finding the Fourth Proportional to 5,239.66, 7,860.84 and 1,542.01

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Solution

The fourth proportional to 5,239.66, 7,860.84 and 1,542.01 is: 2,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.66 : 7,860.84 = 1,542.01 : x
  2. Step 2: Convert to fraction form
    5,239.66/7,860.84 = 1,542.01/x
  3. Step 3: Cross multiply
    5,239.66x = 7,860.84 × 1,542.01
  4. Step 4: Simplify right side
    5,239.66x = 12,121,493.89
  5. Step 5: Solve for x
    x = 12,121,493.89/5,239.66
  6. Step 6: Final answer
    x = 2,313.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.