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Finding the Fourth Proportional to 3,880.71, 5,356.53 and 2,368.85

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Solution

The fourth proportional to 3,880.71, 5,356.53 and 2,368.85 is: 3,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.71 : 5,356.53 = 2,368.85 : x
  2. Step 2: Convert to fraction form
    3,880.71/5,356.53 = 2,368.85/x
  3. Step 3: Cross multiply
    3,880.71x = 5,356.53 × 2,368.85
  4. Step 4: Simplify right side
    3,880.71x = 12,688,789.31
  5. Step 5: Solve for x
    x = 12,688,789.31/3,880.71
  6. Step 6: Final answer
    x = 3,269.71

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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.