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Finding the Fourth Proportional to 3,542.86, 4,868.62 and 3,380.25

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Solution

The fourth proportional to 3,542.86, 4,868.62 and 3,380.25 is: 4,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.86 : 4,868.62 = 3,380.25 : x
  2. Step 2: Convert to fraction form
    3,542.86/4,868.62 = 3,380.25/x
  3. Step 3: Cross multiply
    3,542.86x = 4,868.62 × 3,380.25
  4. Step 4: Simplify right side
    3,542.86x = 16,457,152.76
  5. Step 5: Solve for x
    x = 16,457,152.76/3,542.86
  6. Step 6: Final answer
    x = 4,645.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.