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Finding the Fourth Proportional to 4,799.64, 7,186.08 and 2,454.60

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Solution

The fourth proportional to 4,799.64, 7,186.08 and 2,454.60 is: 3,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799.64 : 7,186.08 = 2,454.60 : x
  2. Step 2: Convert to fraction form
    4,799.64/7,186.08 = 2,454.60/x
  3. Step 3: Cross multiply
    4,799.64x = 7,186.08 × 2,454.60
  4. Step 4: Simplify right side
    4,799.64x = 17,638,951.97
  5. Step 5: Solve for x
    x = 17,638,951.97/4,799.64
  6. Step 6: Final answer
    x = 3,675.06

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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.