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Finding the Fourth Proportional to 5,568.57, 7,678.13 and 4,625.46

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Solution

The fourth proportional to 5,568.57, 7,678.13 and 4,625.46 is: 6,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.57 : 7,678.13 = 4,625.46 : x
  2. Step 2: Convert to fraction form
    5,568.57/7,678.13 = 4,625.46/x
  3. Step 3: Cross multiply
    5,568.57x = 7,678.13 × 4,625.46
  4. Step 4: Simplify right side
    5,568.57x = 35,514,860.06
  5. Step 5: Solve for x
    x = 35,514,860.06/5,568.57
  6. Step 6: Final answer
    x = 6,377.73

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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.