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Finding the Fourth Proportional to 4,257.48, 5,871.42 and 2,821.25

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Solution

The fourth proportional to 4,257.48, 5,871.42 and 2,821.25 is: 3,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.48 : 5,871.42 = 2,821.25 : x
  2. Step 2: Convert to fraction form
    4,257.48/5,871.42 = 2,821.25/x
  3. Step 3: Cross multiply
    4,257.48x = 5,871.42 × 2,821.25
  4. Step 4: Simplify right side
    4,257.48x = 16,564,714.32
  5. Step 5: Solve for x
    x = 16,564,714.32/4,257.48
  6. Step 6: Final answer
    x = 3,890.73

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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.