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Finding the Fourth Proportional to 4,968.61, 7,452.89 and 1,270.82

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Solution

The fourth proportional to 4,968.61, 7,452.89 and 1,270.82 is: 1,906.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.61 : 7,452.89 = 1,270.82 : x
  2. Step 2: Convert to fraction form
    4,968.61/7,452.89 = 1,270.82/x
  3. Step 3: Cross multiply
    4,968.61x = 7,452.89 × 1,270.82
  4. Step 4: Simplify right side
    4,968.61x = 9,471,275.32
  5. Step 5: Solve for x
    x = 9,471,275.32/4,968.61
  6. Step 6: Final answer
    x = 1,906.22

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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.