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Finding the Fourth Proportional to 3,454.80, 5,177.54 and 2,478.74

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Solution

The fourth proportional to 3,454.80, 5,177.54 and 2,478.74 is: 3,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.80 : 5,177.54 = 2,478.74 : x
  2. Step 2: Convert to fraction form
    3,454.80/5,177.54 = 2,478.74/x
  3. Step 3: Cross multiply
    3,454.80x = 5,177.54 × 2,478.74
  4. Step 4: Simplify right side
    3,454.80x = 12,833,775.50
  5. Step 5: Solve for x
    x = 12,833,775.50/3,454.80
  6. Step 6: Final answer
    x = 3,714.77

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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.