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Finding the Fourth Proportional to 5,078.54, 7,606.82 and 2,442

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Solution

The fourth proportional to 5,078.54, 7,606.82 and 2,442 is: 3,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.54 : 7,606.82 = 2,442 : x
  2. Step 2: Convert to fraction form
    5,078.54/7,606.82 = 2,442/x
  3. Step 3: Cross multiply
    5,078.54x = 7,606.82 × 2,442
  4. Step 4: Simplify right side
    5,078.54x = 18,575,854.44
  5. Step 5: Solve for x
    x = 18,575,854.44/5,078.54
  6. Step 6: Final answer
    x = 3,657.72

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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.