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Finding the Fourth Proportional to 5,334.02, 8,001 and 2,048.12

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Solution

The fourth proportional to 5,334.02, 8,001 and 2,048.12 is: 3,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.02 : 8,001 = 2,048.12 : x
  2. Step 2: Convert to fraction form
    5,334.02/8,001 = 2,048.12/x
  3. Step 3: Cross multiply
    5,334.02x = 8,001 × 2,048.12
  4. Step 4: Simplify right side
    5,334.02x = 16,387,008.12
  5. Step 5: Solve for x
    x = 16,387,008.12/5,334.02
  6. Step 6: Final answer
    x = 3,072.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.