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Finding the Fourth Proportional to 5,747, 7,930.87 and 3,263

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Solution

The fourth proportional to 5,747, 7,930.87 and 3,263 is: 4,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747 : 7,930.87 = 3,263 : x
  2. Step 2: Convert to fraction form
    5,747/7,930.87 = 3,263/x
  3. Step 3: Cross multiply
    5,747x = 7,930.87 × 3,263
  4. Step 4: Simplify right side
    5,747x = 25,878,428.81
  5. Step 5: Solve for x
    x = 25,878,428.81/5,747
  6. Step 6: Final answer
    x = 4,502.95

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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.