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Finding the Fourth Proportional to 4,966.56, 6,853.36 and 2,871.36

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Solution

The fourth proportional to 4,966.56, 6,853.36 and 2,871.36 is: 3,962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.56 : 6,853.36 = 2,871.36 : x
  2. Step 2: Convert to fraction form
    4,966.56/6,853.36 = 2,871.36/x
  3. Step 3: Cross multiply
    4,966.56x = 6,853.36 × 2,871.36
  4. Step 4: Simplify right side
    4,966.56x = 19,678,463.77
  5. Step 5: Solve for x
    x = 19,678,463.77/4,966.56
  6. Step 6: Final answer
    x = 3,962.19

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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.