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Finding the Fourth Proportional to 4,047.70, 6,071.31 and 2,382.76

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Solution

The fourth proportional to 4,047.70, 6,071.31 and 2,382.76 is: 3,574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.70 : 6,071.31 = 2,382.76 : x
  2. Step 2: Convert to fraction form
    4,047.70/6,071.31 = 2,382.76/x
  3. Step 3: Cross multiply
    4,047.70x = 6,071.31 × 2,382.76
  4. Step 4: Simplify right side
    4,047.70x = 14,466,474.62
  5. Step 5: Solve for x
    x = 14,466,474.62/4,047.70
  6. Step 6: Final answer
    x = 3,574.00

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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.