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Finding the Fourth Proportional to 3,548.95, 5,350 and 3,311.08

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Solution

The fourth proportional to 3,548.95, 5,350 and 3,311.08 is: 4,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.95 : 5,350 = 3,311.08 : x
  2. Step 2: Convert to fraction form
    3,548.95/5,350 = 3,311.08/x
  3. Step 3: Cross multiply
    3,548.95x = 5,350 × 3,311.08
  4. Step 4: Simplify right side
    3,548.95x = 17,714,278
  5. Step 5: Solve for x
    x = 17,714,278/3,548.95
  6. Step 6: Final answer
    x = 4,991.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.