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Finding the Fourth Proportional to 3,442.92, 4,751.26 and 1,871.02

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Solution

The fourth proportional to 3,442.92, 4,751.26 and 1,871.02 is: 2,582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.92 : 4,751.26 = 1,871.02 : x
  2. Step 2: Convert to fraction form
    3,442.92/4,751.26 = 1,871.02/x
  3. Step 3: Cross multiply
    3,442.92x = 4,751.26 × 1,871.02
  4. Step 4: Simplify right side
    3,442.92x = 8,889,678.73
  5. Step 5: Solve for x
    x = 8,889,678.73/3,442.92
  6. Step 6: Final answer
    x = 2,582.02

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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.