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Finding the Fourth Proportional to 5,568.22, 7,684.98 and 3,178.18

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Solution

The fourth proportional to 5,568.22, 7,684.98 and 3,178.18 is: 4,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.22 : 7,684.98 = 3,178.18 : x
  2. Step 2: Convert to fraction form
    5,568.22/7,684.98 = 3,178.18/x
  3. Step 3: Cross multiply
    5,568.22x = 7,684.98 × 3,178.18
  4. Step 4: Simplify right side
    5,568.22x = 24,424,211.31
  5. Step 5: Solve for x
    x = 24,424,211.31/5,568.22
  6. Step 6: Final answer
    x = 4,386.36

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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.