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Finding the Fourth Proportional to 5,639.86, 7,783.08 and 3,122.20

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Solution

The fourth proportional to 5,639.86, 7,783.08 and 3,122.20 is: 4,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.86 : 7,783.08 = 3,122.20 : x
  2. Step 2: Convert to fraction form
    5,639.86/7,783.08 = 3,122.20/x
  3. Step 3: Cross multiply
    5,639.86x = 7,783.08 × 3,122.20
  4. Step 4: Simplify right side
    5,639.86x = 24,300,332.38
  5. Step 5: Solve for x
    x = 24,300,332.38/5,639.86
  6. Step 6: Final answer
    x = 4,308.68

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Why These Related Problems?

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