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Finding the Fourth Proportional to 5,639.94, 7,782.86 and 3,122.14

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Solution

The fourth proportional to 5,639.94, 7,782.86 and 3,122.14 is: 4,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.94 : 7,782.86 = 3,122.14 : x
  2. Step 2: Convert to fraction form
    5,639.94/7,782.86 = 3,122.14/x
  3. Step 3: Cross multiply
    5,639.94x = 7,782.86 × 3,122.14
  4. Step 4: Simplify right side
    5,639.94x = 24,299,178.52
  5. Step 5: Solve for x
    x = 24,299,178.52/5,639.94
  6. Step 6: Final answer
    x = 4,308.41

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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.