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Finding the Fourth Proportional to 4,871.42, 6,722.15 and 2,982.19

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Solution

The fourth proportional to 4,871.42, 6,722.15 and 2,982.19 is: 4,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.42 : 6,722.15 = 2,982.19 : x
  2. Step 2: Convert to fraction form
    4,871.42/6,722.15 = 2,982.19/x
  3. Step 3: Cross multiply
    4,871.42x = 6,722.15 × 2,982.19
  4. Step 4: Simplify right side
    4,871.42x = 20,046,728.51
  5. Step 5: Solve for x
    x = 20,046,728.51/4,871.42
  6. Step 6: Final answer
    x = 4,115.17

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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.