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Finding the Fourth Proportional to 3,716.32, 5,574.54 and 1,768.13

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Solution

The fourth proportional to 3,716.32, 5,574.54 and 1,768.13 is: 2,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.32 : 5,574.54 = 1,768.13 : x
  2. Step 2: Convert to fraction form
    3,716.32/5,574.54 = 1,768.13/x
  3. Step 3: Cross multiply
    3,716.32x = 5,574.54 × 1,768.13
  4. Step 4: Simplify right side
    3,716.32x = 9,856,511.41
  5. Step 5: Solve for x
    x = 9,856,511.41/3,716.32
  6. Step 6: Final answer
    x = 2,652.23

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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.