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Finding the Fourth Proportional to 3,549.34, 4,902.87 and 3,218.14

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Solution

The fourth proportional to 3,549.34, 4,902.87 and 3,218.14 is: 4,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.34 : 4,902.87 = 3,218.14 : x
  2. Step 2: Convert to fraction form
    3,549.34/4,902.87 = 3,218.14/x
  3. Step 3: Cross multiply
    3,549.34x = 4,902.87 × 3,218.14
  4. Step 4: Simplify right side
    3,549.34x = 15,778,122.06
  5. Step 5: Solve for x
    x = 15,778,122.06/3,549.34
  6. Step 6: Final answer
    x = 4,445.37

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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.