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Finding the Fourth Proportional to 5,927.95, 8,892.84 and 2,031.43

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Solution

The fourth proportional to 5,927.95, 8,892.84 and 2,031.43 is: 3,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.95 : 8,892.84 = 2,031.43 : x
  2. Step 2: Convert to fraction form
    5,927.95/8,892.84 = 2,031.43/x
  3. Step 3: Cross multiply
    5,927.95x = 8,892.84 × 2,031.43
  4. Step 4: Simplify right side
    5,927.95x = 18,065,181.96
  5. Step 5: Solve for x
    x = 18,065,181.96/5,927.95
  6. Step 6: Final answer
    x = 3,047.46

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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.