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Finding the Fourth Proportional to 5,178.04, 7,768.50 and 2,871.16

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Solution

The fourth proportional to 5,178.04, 7,768.50 and 2,871.16 is: 4,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.04 : 7,768.50 = 2,871.16 : x
  2. Step 2: Convert to fraction form
    5,178.04/7,768.50 = 2,871.16/x
  3. Step 3: Cross multiply
    5,178.04x = 7,768.50 × 2,871.16
  4. Step 4: Simplify right side
    5,178.04x = 22,304,606.46
  5. Step 5: Solve for x
    x = 22,304,606.46/5,178.04
  6. Step 6: Final answer
    x = 4,307.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.