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Finding the Fourth Proportional to 5,639.58, 7,781.70 and 3,542.22

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Solution

The fourth proportional to 5,639.58, 7,781.70 and 3,542.22 is: 4,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.58 : 7,781.70 = 3,542.22 : x
  2. Step 2: Convert to fraction form
    5,639.58/7,781.70 = 3,542.22/x
  3. Step 3: Cross multiply
    5,639.58x = 7,781.70 × 3,542.22
  4. Step 4: Simplify right side
    5,639.58x = 27,564,493.37
  5. Step 5: Solve for x
    x = 27,564,493.37/5,639.58
  6. Step 6: Final answer
    x = 4,887.69

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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.