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Finding the Fourth Proportional to 3,348, 5,022 and 1,156.14

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Solution

The fourth proportional to 3,348, 5,022 and 1,156.14 is: 1,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348 : 5,022 = 1,156.14 : x
  2. Step 2: Convert to fraction form
    3,348/5,022 = 1,156.14/x
  3. Step 3: Cross multiply
    3,348x = 5,022 × 1,156.14
  4. Step 4: Simplify right side
    3,348x = 5,806,135.08
  5. Step 5: Solve for x
    x = 5,806,135.08/3,348
  6. Step 6: Final answer
    x = 1,734.21

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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.