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Finding the Fourth Proportional to 3,792.39, 5,683.20 and 2,854.71

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Solution

The fourth proportional to 3,792.39, 5,683.20 and 2,854.71 is: 4,278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.39 : 5,683.20 = 2,854.71 : x
  2. Step 2: Convert to fraction form
    3,792.39/5,683.20 = 2,854.71/x
  3. Step 3: Cross multiply
    3,792.39x = 5,683.20 × 2,854.71
  4. Step 4: Simplify right side
    3,792.39x = 16,223,887.87
  5. Step 5: Solve for x
    x = 16,223,887.87/3,792.39
  6. Step 6: Final answer
    x = 4,278.01

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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.