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Finding the Fourth Proportional to 3,550.68, 4,900.02 and 1,978.87

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Solution

The fourth proportional to 3,550.68, 4,900.02 and 1,978.87 is: 2,730.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,550.68 : 4,900.02 = 1,978.87 : x
  2. Step 2: Convert to fraction form
    3,550.68/4,900.02 = 1,978.87/x
  3. Step 3: Cross multiply
    3,550.68x = 4,900.02 × 1,978.87
  4. Step 4: Simplify right side
    3,550.68x = 9,696,502.58
  5. Step 5: Solve for x
    x = 9,696,502.58/3,550.68
  6. Step 6: Final answer
    x = 2,730.89

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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.