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Finding the Fourth Proportional to 3,248.12, 4,871.66 and 908.34

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Solution

The fourth proportional to 3,248.12, 4,871.66 and 908.34 is: 1,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.12 : 4,871.66 = 908.34 : x
  2. Step 2: Convert to fraction form
    3,248.12/4,871.66 = 908.34/x
  3. Step 3: Cross multiply
    3,248.12x = 4,871.66 × 908.34
  4. Step 4: Simplify right side
    3,248.12x = 4,425,119.10
  5. Step 5: Solve for x
    x = 4,425,119.10/3,248.12
  6. Step 6: Final answer
    x = 1,362.37

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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.