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Finding the Fourth Proportional to 5,927.46, 8,892.54 and 2,031.63

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Solution

The fourth proportional to 5,927.46, 8,892.54 and 2,031.63 is: 3,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.46 : 8,892.54 = 2,031.63 : x
  2. Step 2: Convert to fraction form
    5,927.46/8,892.54 = 2,031.63/x
  3. Step 3: Cross multiply
    5,927.46x = 8,892.54 × 2,031.63
  4. Step 4: Simplify right side
    5,927.46x = 18,066,351.04
  5. Step 5: Solve for x
    x = 18,066,351.04/5,927.46
  6. Step 6: Final answer
    x = 3,047.91

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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.