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Finding the Fourth Proportional to 5,651.84, 7,799.36 and 3,134.08

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Solution

The fourth proportional to 5,651.84, 7,799.36 and 3,134.08 is: 4,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.84 : 7,799.36 = 3,134.08 : x
  2. Step 2: Convert to fraction form
    5,651.84/7,799.36 = 3,134.08/x
  3. Step 3: Cross multiply
    5,651.84x = 7,799.36 × 3,134.08
  4. Step 4: Simplify right side
    5,651.84x = 24,443,818.19
  5. Step 5: Solve for x
    x = 24,443,818.19/5,651.84
  6. Step 6: Final answer
    x = 4,324.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.