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Finding the Fourth Proportional to 5,568.26, 7,684.90 and 3,210.41

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Solution

The fourth proportional to 5,568.26, 7,684.90 and 3,210.41 is: 4,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.26 : 7,684.90 = 3,210.41 : x
  2. Step 2: Convert to fraction form
    5,568.26/7,684.90 = 3,210.41/x
  3. Step 3: Cross multiply
    5,568.26x = 7,684.90 × 3,210.41
  4. Step 4: Simplify right side
    5,568.26x = 24,671,691.00
  5. Step 5: Solve for x
    x = 24,671,691.00/5,568.26
  6. Step 6: Final answer
    x = 4,430.78

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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.