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Finding the Fourth Proportional to 5,641.87, 7,785.76 and 3,284

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Solution

The fourth proportional to 5,641.87, 7,785.76 and 3,284 is: 4,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.87 : 7,785.76 = 3,284 : x
  2. Step 2: Convert to fraction form
    5,641.87/7,785.76 = 3,284/x
  3. Step 3: Cross multiply
    5,641.87x = 7,785.76 × 3,284
  4. Step 4: Simplify right side
    5,641.87x = 25,568,435.84
  5. Step 5: Solve for x
    x = 25,568,435.84/5,641.87
  6. Step 6: Final answer
    x = 4,531.91

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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.