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Finding the Fourth Proportional to 5,169.81, 7,752.36 and 1,471.17

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Solution

The fourth proportional to 5,169.81, 7,752.36 and 1,471.17 is: 2,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.81 : 7,752.36 = 1,471.17 : x
  2. Step 2: Convert to fraction form
    5,169.81/7,752.36 = 1,471.17/x
  3. Step 3: Cross multiply
    5,169.81x = 7,752.36 × 1,471.17
  4. Step 4: Simplify right side
    5,169.81x = 11,405,039.46
  5. Step 5: Solve for x
    x = 11,405,039.46/5,169.81
  6. Step 6: Final answer
    x = 2,206.08

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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.