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Finding the Fourth Proportional to 5,568.78, 7,685.04 and 3,178.70

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Solution

The fourth proportional to 5,568.78, 7,685.04 and 3,178.70 is: 4,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.78 : 7,685.04 = 3,178.70 : x
  2. Step 2: Convert to fraction form
    5,568.78/7,685.04 = 3,178.70/x
  3. Step 3: Cross multiply
    5,568.78x = 7,685.04 × 3,178.70
  4. Step 4: Simplify right side
    5,568.78x = 24,428,436.65
  5. Step 5: Solve for x
    x = 24,428,436.65/5,568.78
  6. Step 6: Final answer
    x = 4,386.68

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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.