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Finding the Fourth Proportional to 3,298.86, 4,967.87 and 2,871.18

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Solution

The fourth proportional to 3,298.86, 4,967.87 and 2,871.18 is: 4,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.86 : 4,967.87 = 2,871.18 : x
  2. Step 2: Convert to fraction form
    3,298.86/4,967.87 = 2,871.18/x
  3. Step 3: Cross multiply
    3,298.86x = 4,967.87 × 2,871.18
  4. Step 4: Simplify right side
    3,298.86x = 14,263,634.63
  5. Step 5: Solve for x
    x = 14,263,634.63/3,298.86
  6. Step 6: Final answer
    x = 4,323.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.