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Finding the Fourth Proportional to 3,584.71, 4,947.34 and 2,258.39

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Solution

The fourth proportional to 3,584.71, 4,947.34 and 2,258.39 is: 3,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.71 : 4,947.34 = 2,258.39 : x
  2. Step 2: Convert to fraction form
    3,584.71/4,947.34 = 2,258.39/x
  3. Step 3: Cross multiply
    3,584.71x = 4,947.34 × 2,258.39
  4. Step 4: Simplify right side
    3,584.71x = 11,173,029.90
  5. Step 5: Solve for x
    x = 11,173,029.90/3,584.71
  6. Step 6: Final answer
    x = 3,116.86

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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.