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Finding the Fourth Proportional to 5,334.16, 8,001.24 and 2,254

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Solution

The fourth proportional to 5,334.16, 8,001.24 and 2,254 is: 3,381.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.16 : 8,001.24 = 2,254 : x
  2. Step 2: Convert to fraction form
    5,334.16/8,001.24 = 2,254/x
  3. Step 3: Cross multiply
    5,334.16x = 8,001.24 × 2,254
  4. Step 4: Simplify right side
    5,334.16x = 18,034,794.96
  5. Step 5: Solve for x
    x = 18,034,794.96/5,334.16
  6. Step 6: Final answer
    x = 3,381.00

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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.