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Finding the Fourth Proportional to 5,639.86, 7,782.48 and 3,249.19

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Solution

The fourth proportional to 5,639.86, 7,782.48 and 3,249.19 is: 4,483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.86 : 7,782.48 = 3,249.19 : x
  2. Step 2: Convert to fraction form
    5,639.86/7,782.48 = 3,249.19/x
  3. Step 3: Cross multiply
    5,639.86x = 7,782.48 × 3,249.19
  4. Step 4: Simplify right side
    5,639.86x = 25,286,756.19
  5. Step 5: Solve for x
    x = 25,286,756.19/5,639.86
  6. Step 6: Final answer
    x = 4,483.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.