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Finding the Fourth Proportional to 4,148.67, 5,725.17 and 2,285.67

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Solution

The fourth proportional to 4,148.67, 5,725.17 and 2,285.67 is: 3,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.67 : 5,725.17 = 2,285.67 : x
  2. Step 2: Convert to fraction form
    4,148.67/5,725.17 = 2,285.67/x
  3. Step 3: Cross multiply
    4,148.67x = 5,725.17 × 2,285.67
  4. Step 4: Simplify right side
    4,148.67x = 13,085,849.31
  5. Step 5: Solve for x
    x = 13,085,849.31/4,148.67
  6. Step 6: Final answer
    x = 3,154.23

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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.