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Finding the Fourth Proportional to 3,550, 4,898.76 and 1,978.18

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Solution

The fourth proportional to 3,550, 4,898.76 and 1,978.18 is: 2,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,550 : 4,898.76 = 1,978.18 : x
  2. Step 2: Convert to fraction form
    3,550/4,898.76 = 1,978.18/x
  3. Step 3: Cross multiply
    3,550x = 4,898.76 × 1,978.18
  4. Step 4: Simplify right side
    3,550x = 9,690,629.06
  5. Step 5: Solve for x
    x = 9,690,629.06/3,550
  6. Step 6: Final answer
    x = 2,729.75

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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.