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Finding the Fourth Proportional to 4,471.18, 6,709 and 2,007.76

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Solution

The fourth proportional to 4,471.18, 6,709 and 2,007.76 is: 3,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.18 : 6,709 = 2,007.76 : x
  2. Step 2: Convert to fraction form
    4,471.18/6,709 = 2,007.76/x
  3. Step 3: Cross multiply
    4,471.18x = 6,709 × 2,007.76
  4. Step 4: Simplify right side
    4,471.18x = 13,470,061.84
  5. Step 5: Solve for x
    x = 13,470,061.84/4,471.18
  6. Step 6: Final answer
    x = 3,012.64

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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.