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Finding the Fourth Proportional to 3,407.80, 5,111.70 and 3,062.20

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Solution

The fourth proportional to 3,407.80, 5,111.70 and 3,062.20 is: 4,593.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.80 : 5,111.70 = 3,062.20 : x
  2. Step 2: Convert to fraction form
    3,407.80/5,111.70 = 3,062.20/x
  3. Step 3: Cross multiply
    3,407.80x = 5,111.70 × 3,062.20
  4. Step 4: Simplify right side
    3,407.80x = 15,653,047.74
  5. Step 5: Solve for x
    x = 15,653,047.74/3,407.80
  6. Step 6: Final answer
    x = 4,593.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.