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Finding the Fourth Proportional to 3,585.84, 4,947.48 and 2,258.88

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Solution

The fourth proportional to 3,585.84, 4,947.48 and 2,258.88 is: 3,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.84 : 4,947.48 = 2,258.88 : x
  2. Step 2: Convert to fraction form
    3,585.84/4,947.48 = 2,258.88/x
  3. Step 3: Cross multiply
    3,585.84x = 4,947.48 × 2,258.88
  4. Step 4: Simplify right side
    3,585.84x = 11,175,763.62
  5. Step 5: Solve for x
    x = 11,175,763.62/3,585.84
  6. Step 6: Final answer
    x = 3,116.64

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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.