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Finding the Fourth Proportional to 4,047.54, 6,082.29 and 2,200.02

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Solution

The fourth proportional to 4,047.54, 6,082.29 and 2,200.02 is: 3,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.54 : 6,082.29 = 2,200.02 : x
  2. Step 2: Convert to fraction form
    4,047.54/6,082.29 = 2,200.02/x
  3. Step 3: Cross multiply
    4,047.54x = 6,082.29 × 2,200.02
  4. Step 4: Simplify right side
    4,047.54x = 13,381,159.65
  5. Step 5: Solve for x
    x = 13,381,159.65/4,047.54
  6. Step 6: Final answer
    x = 3,306.00

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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.