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Finding the Fourth Proportional to 5,696.28, 7,860.84 and 3,178.39

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Solution

The fourth proportional to 5,696.28, 7,860.84 and 3,178.39 is: 4,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.28 : 7,860.84 = 3,178.39 : x
  2. Step 2: Convert to fraction form
    5,696.28/7,860.84 = 3,178.39/x
  3. Step 3: Cross multiply
    5,696.28x = 7,860.84 × 3,178.39
  4. Step 4: Simplify right side
    5,696.28x = 24,984,799.36
  5. Step 5: Solve for x
    x = 24,984,799.36/5,696.28
  6. Step 6: Final answer
    x = 4,386.16

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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.