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Finding the Fourth Proportional to 5,696.12, 7,860.69 and 3,178.19

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Solution

The fourth proportional to 5,696.12, 7,860.69 and 3,178.19 is: 4,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.12 : 7,860.69 = 3,178.19 : x
  2. Step 2: Convert to fraction form
    5,696.12/7,860.69 = 3,178.19/x
  3. Step 3: Cross multiply
    5,696.12x = 7,860.69 × 3,178.19
  4. Step 4: Simplify right side
    5,696.12x = 24,982,766.35
  5. Step 5: Solve for x
    x = 24,982,766.35/5,696.12
  6. Step 6: Final answer
    x = 4,385.93

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