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Finding the Fourth Proportional to 5,647.38, 7,797.04 and 3,631.70

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Solution

The fourth proportional to 5,647.38, 7,797.04 and 3,631.70 is: 5,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.38 : 7,797.04 = 3,631.70 : x
  2. Step 2: Convert to fraction form
    5,647.38/7,797.04 = 3,631.70/x
  3. Step 3: Cross multiply
    5,647.38x = 7,797.04 × 3,631.70
  4. Step 4: Simplify right side
    5,647.38x = 28,316,510.17
  5. Step 5: Solve for x
    x = 28,316,510.17/5,647.38
  6. Step 6: Final answer
    x = 5,014.10

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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.