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Finding the Fourth Proportional to 3,346.16, 5,018.82 and 881

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Solution

The fourth proportional to 3,346.16, 5,018.82 and 881 is: 1,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.16 : 5,018.82 = 881 : x
  2. Step 2: Convert to fraction form
    3,346.16/5,018.82 = 881/x
  3. Step 3: Cross multiply
    3,346.16x = 5,018.82 × 881
  4. Step 4: Simplify right side
    3,346.16x = 4,421,580.42
  5. Step 5: Solve for x
    x = 4,421,580.42/3,346.16
  6. Step 6: Final answer
    x = 1,321.39

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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.