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Finding the Fourth Proportional to 3,078.76, 4,248.54 and 1,752.52

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Solution

The fourth proportional to 3,078.76, 4,248.54 and 1,752.52 is: 2,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.76 : 4,248.54 = 1,752.52 : x
  2. Step 2: Convert to fraction form
    3,078.76/4,248.54 = 1,752.52/x
  3. Step 3: Cross multiply
    3,078.76x = 4,248.54 × 1,752.52
  4. Step 4: Simplify right side
    3,078.76x = 7,445,651.32
  5. Step 5: Solve for x
    x = 7,445,651.32/3,078.76
  6. Step 6: Final answer
    x = 2,418.39

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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.