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Finding the Fourth Proportional to 5,631.84, 7,772.04 and 3,114

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Solution

The fourth proportional to 5,631.84, 7,772.04 and 3,114 is: 4,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.84 : 7,772.04 = 3,114 : x
  2. Step 2: Convert to fraction form
    5,631.84/7,772.04 = 3,114/x
  3. Step 3: Cross multiply
    5,631.84x = 7,772.04 × 3,114
  4. Step 4: Simplify right side
    5,631.84x = 24,202,132.56
  5. Step 5: Solve for x
    x = 24,202,132.56/5,631.84
  6. Step 6: Final answer
    x = 4,297.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.