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Finding the Fourth Proportional to 3,701.16, 5,551.74 and 1,854.54

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Solution

The fourth proportional to 3,701.16, 5,551.74 and 1,854.54 is: 2,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.16 : 5,551.74 = 1,854.54 : x
  2. Step 2: Convert to fraction form
    3,701.16/5,551.74 = 1,854.54/x
  3. Step 3: Cross multiply
    3,701.16x = 5,551.74 × 1,854.54
  4. Step 4: Simplify right side
    3,701.16x = 10,295,923.90
  5. Step 5: Solve for x
    x = 10,295,923.90/3,701.16
  6. Step 6: Final answer
    x = 2,781.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.