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Finding the Fourth Proportional to 4,657.78, 6,982.35 and 2,464.66

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Solution

The fourth proportional to 4,657.78, 6,982.35 and 2,464.66 is: 3,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.78 : 6,982.35 = 2,464.66 : x
  2. Step 2: Convert to fraction form
    4,657.78/6,982.35 = 2,464.66/x
  3. Step 3: Cross multiply
    4,657.78x = 6,982.35 × 2,464.66
  4. Step 4: Simplify right side
    4,657.78x = 17,209,118.75
  5. Step 5: Solve for x
    x = 17,209,118.75/4,657.78
  6. Step 6: Final answer
    x = 3,694.70

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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.