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Finding the Fourth Proportional to 4,661.88, 6,992.12 and 1,542.02

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Solution

The fourth proportional to 4,661.88, 6,992.12 and 1,542.02 is: 2,312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.88 : 6,992.12 = 1,542.02 : x
  2. Step 2: Convert to fraction form
    4,661.88/6,992.12 = 1,542.02/x
  3. Step 3: Cross multiply
    4,661.88x = 6,992.12 × 1,542.02
  4. Step 4: Simplify right side
    4,661.88x = 10,781,946.21
  5. Step 5: Solve for x
    x = 10,781,946.21/4,661.88
  6. Step 6: Final answer
    x = 2,312.79

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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.