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Finding the Fourth Proportional to 4,148.66, 5,725.41 and 2,285.66

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Solution

The fourth proportional to 4,148.66, 5,725.41 and 2,285.66 is: 3,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.66 : 5,725.41 = 2,285.66 : x
  2. Step 2: Convert to fraction form
    4,148.66/5,725.41 = 2,285.66/x
  3. Step 3: Cross multiply
    4,148.66x = 5,725.41 × 2,285.66
  4. Step 4: Simplify right side
    4,148.66x = 13,086,340.62
  5. Step 5: Solve for x
    x = 13,086,340.62/4,148.66
  6. Step 6: Final answer
    x = 3,154.35

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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.