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Finding the Fourth Proportional to 4,799.64, 7,196.31 and 2,302.14

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Solution

The fourth proportional to 4,799.64, 7,196.31 and 2,302.14 is: 3,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799.64 : 7,196.31 = 2,302.14 : x
  2. Step 2: Convert to fraction form
    4,799.64/7,196.31 = 2,302.14/x
  3. Step 3: Cross multiply
    4,799.64x = 7,196.31 × 2,302.14
  4. Step 4: Simplify right side
    4,799.64x = 16,566,913.10
  5. Step 5: Solve for x
    x = 16,566,913.10/4,799.64
  6. Step 6: Final answer
    x = 3,451.70

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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.