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Finding the Fourth Proportional to 3,588.66, 5,382.84 and 1,249.19

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Solution

The fourth proportional to 3,588.66, 5,382.84 and 1,249.19 is: 1,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.66 : 5,382.84 = 1,249.19 : x
  2. Step 2: Convert to fraction form
    3,588.66/5,382.84 = 1,249.19/x
  3. Step 3: Cross multiply
    3,588.66x = 5,382.84 × 1,249.19
  4. Step 4: Simplify right side
    3,588.66x = 6,724,211.11
  5. Step 5: Solve for x
    x = 6,724,211.11/3,588.66
  6. Step 6: Final answer
    x = 1,873.74

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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.