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Finding the Fourth Proportional to 5,132.78, 7,083.24 and 2,774.92

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Solution

The fourth proportional to 5,132.78, 7,083.24 and 2,774.92 is: 3,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.78 : 7,083.24 = 2,774.92 : x
  2. Step 2: Convert to fraction form
    5,132.78/7,083.24 = 2,774.92/x
  3. Step 3: Cross multiply
    5,132.78x = 7,083.24 × 2,774.92
  4. Step 4: Simplify right side
    5,132.78x = 19,655,424.34
  5. Step 5: Solve for x
    x = 19,655,424.34/5,132.78
  6. Step 6: Final answer
    x = 3,829.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.