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Finding the Fourth Proportional to 3,442.97, 4,751.33 and 1,871.06

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Solution

The fourth proportional to 3,442.97, 4,751.33 and 1,871.06 is: 2,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.97 : 4,751.33 = 1,871.06 : x
  2. Step 2: Convert to fraction form
    3,442.97/4,751.33 = 1,871.06/x
  3. Step 3: Cross multiply
    3,442.97x = 4,751.33 × 1,871.06
  4. Step 4: Simplify right side
    3,442.97x = 8,890,014.15
  5. Step 5: Solve for x
    x = 8,890,014.15/3,442.97
  6. Step 6: Final answer
    x = 2,582.08

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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.