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Finding the Fourth Proportional to 3,871.61, 5,341.10 and 2,298.79

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Solution

The fourth proportional to 3,871.61, 5,341.10 and 2,298.79 is: 3,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.61 : 5,341.10 = 2,298.79 : x
  2. Step 2: Convert to fraction form
    3,871.61/5,341.10 = 2,298.79/x
  3. Step 3: Cross multiply
    3,871.61x = 5,341.10 × 2,298.79
  4. Step 4: Simplify right side
    3,871.61x = 12,278,029.07
  5. Step 5: Solve for x
    x = 12,278,029.07/3,871.61
  6. Step 6: Final answer
    x = 3,171.30

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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.