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Finding the Fourth Proportional to 4,148.41, 5,724.80 and 2,285.41

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Solution

The fourth proportional to 4,148.41, 5,724.80 and 2,285.41 is: 3,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.41 : 5,724.80 = 2,285.41 : x
  2. Step 2: Convert to fraction form
    4,148.41/5,724.80 = 2,285.41/x
  3. Step 3: Cross multiply
    4,148.41x = 5,724.80 × 2,285.41
  4. Step 4: Simplify right side
    4,148.41x = 13,083,515.17
  5. Step 5: Solve for x
    x = 13,083,515.17/4,148.41
  6. Step 6: Final answer
    x = 3,153.86

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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.