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Finding the Fourth Proportional to 3,534.89, 4,882.12 and 3,062.00

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Solution

The fourth proportional to 3,534.89, 4,882.12 and 3,062.00 is: 4,229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.89 : 4,882.12 = 3,062.00 : x
  2. Step 2: Convert to fraction form
    3,534.89/4,882.12 = 3,062.00/x
  3. Step 3: Cross multiply
    3,534.89x = 4,882.12 × 3,062.00
  4. Step 4: Simplify right side
    3,534.89x = 14,949,073.21
  5. Step 5: Solve for x
    x = 14,949,073.21/3,534.89
  6. Step 6: Final answer
    x = 4,229.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.