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Finding the Fourth Proportional to 4,148.64, 5,725.11 and 2,285.64

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Solution

The fourth proportional to 4,148.64, 5,725.11 and 2,285.64 is: 3,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.64 : 5,725.11 = 2,285.64 : x
  2. Step 2: Convert to fraction form
    4,148.64/5,725.11 = 2,285.64/x
  3. Step 3: Cross multiply
    4,148.64x = 5,725.11 × 2,285.64
  4. Step 4: Simplify right side
    4,148.64x = 13,085,540.42
  5. Step 5: Solve for x
    x = 13,085,540.42/4,148.64
  6. Step 6: Final answer
    x = 3,154.18

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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.