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Finding the Fourth Proportional to 3,709.08, 5,564.30 and 1,244.16

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Solution

The fourth proportional to 3,709.08, 5,564.30 and 1,244.16 is: 1,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.08 : 5,564.30 = 1,244.16 : x
  2. Step 2: Convert to fraction form
    3,709.08/5,564.30 = 1,244.16/x
  3. Step 3: Cross multiply
    3,709.08x = 5,564.30 × 1,244.16
  4. Step 4: Simplify right side
    3,709.08x = 6,922,873.27
  5. Step 5: Solve for x
    x = 6,922,873.27/3,709.08
  6. Step 6: Final answer
    x = 1,866.47

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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.