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Finding the Fourth Proportional to 5,266.34, 7,901.14 and 3,806

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Solution

The fourth proportional to 5,266.34, 7,901.14 and 3,806 is: 5,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.34 : 7,901.14 = 3,806 : x
  2. Step 2: Convert to fraction form
    5,266.34/7,901.14 = 3,806/x
  3. Step 3: Cross multiply
    5,266.34x = 7,901.14 × 3,806
  4. Step 4: Simplify right side
    5,266.34x = 30,071,738.84
  5. Step 5: Solve for x
    x = 30,071,738.84/5,266.34
  6. Step 6: Final answer
    x = 5,710.18

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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.