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Finding the Fourth Proportional to 5,783.38, 7,981.08 and 3,130.78

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Solution

The fourth proportional to 5,783.38, 7,981.08 and 3,130.78 is: 4,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.38 : 7,981.08 = 3,130.78 : x
  2. Step 2: Convert to fraction form
    5,783.38/7,981.08 = 3,130.78/x
  3. Step 3: Cross multiply
    5,783.38x = 7,981.08 × 3,130.78
  4. Step 4: Simplify right side
    5,783.38x = 24,987,005.64
  5. Step 5: Solve for x
    x = 24,987,005.64/5,783.38
  6. Step 6: Final answer
    x = 4,320.48

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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.