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Finding the Fourth Proportional to 4,799.54, 7,199.92 and 1,877.47

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Solution

The fourth proportional to 4,799.54, 7,199.92 and 1,877.47 is: 2,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799.54 : 7,199.92 = 1,877.47 : x
  2. Step 2: Convert to fraction form
    4,799.54/7,199.92 = 1,877.47/x
  3. Step 3: Cross multiply
    4,799.54x = 7,199.92 × 1,877.47
  4. Step 4: Simplify right side
    4,799.54x = 13,517,633.80
  5. Step 5: Solve for x
    x = 13,517,633.80/4,799.54
  6. Step 6: Final answer
    x = 2,816.44

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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.