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Finding the Fourth Proportional to 5,641.81, 7,784.70 and 3,251.23

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Solution

The fourth proportional to 5,641.81, 7,784.70 and 3,251.23 is: 4,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.81 : 7,784.70 = 3,251.23 : x
  2. Step 2: Convert to fraction form
    5,641.81/7,784.70 = 3,251.23/x
  3. Step 3: Cross multiply
    5,641.81x = 7,784.70 × 3,251.23
  4. Step 4: Simplify right side
    5,641.81x = 25,309,850.18
  5. Step 5: Solve for x
    x = 25,309,850.18/5,641.81
  6. Step 6: Final answer
    x = 4,486.12

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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.