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Finding the Fourth Proportional to 3,325, 4,588.82 and 1,853

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Solution

The fourth proportional to 3,325, 4,588.82 and 1,853 is: 2,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,325 : 4,588.82 = 1,853 : x
  2. Step 2: Convert to fraction form
    3,325/4,588.82 = 1,853/x
  3. Step 3: Cross multiply
    3,325x = 4,588.82 × 1,853
  4. Step 4: Simplify right side
    3,325x = 8,503,083.46
  5. Step 5: Solve for x
    x = 8,503,083.46/3,325
  6. Step 6: Final answer
    x = 2,557.32

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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.