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Finding the Fourth Proportional to 6,077.34, 9,118.17 and 2,958.30

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Solution

The fourth proportional to 6,077.34, 9,118.17 and 2,958.30 is: 4,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.34 : 9,118.17 = 2,958.30 : x
  2. Step 2: Convert to fraction form
    6,077.34/9,118.17 = 2,958.30/x
  3. Step 3: Cross multiply
    6,077.34x = 9,118.17 × 2,958.30
  4. Step 4: Simplify right side
    6,077.34x = 26,974,282.31
  5. Step 5: Solve for x
    x = 26,974,282.31/6,077.34
  6. Step 6: Final answer
    x = 4,438.50

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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.