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Finding the Fourth Proportional to 5,639.94, 7,783.06 and 3,122.24

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Solution

The fourth proportional to 5,639.94, 7,783.06 and 3,122.24 is: 4,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.94 : 7,783.06 = 3,122.24 : x
  2. Step 2: Convert to fraction form
    5,639.94/7,783.06 = 3,122.24/x
  3. Step 3: Cross multiply
    5,639.94x = 7,783.06 × 3,122.24
  4. Step 4: Simplify right side
    5,639.94x = 24,300,581.25
  5. Step 5: Solve for x
    x = 24,300,581.25/5,639.94
  6. Step 6: Final answer
    x = 4,308.66

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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.