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Finding the Fourth Proportional to 3,287.73, 4,537.10 and 1,871.34

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Solution

The fourth proportional to 3,287.73, 4,537.10 and 1,871.34 is: 2,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.73 : 4,537.10 = 1,871.34 : x
  2. Step 2: Convert to fraction form
    3,287.73/4,537.10 = 1,871.34/x
  3. Step 3: Cross multiply
    3,287.73x = 4,537.10 × 1,871.34
  4. Step 4: Simplify right side
    3,287.73x = 8,490,464.37
  5. Step 5: Solve for x
    x = 8,490,464.37/3,287.73
  6. Step 6: Final answer
    x = 2,582.47

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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.