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Finding the Fourth Proportional to 6,051.80, 9,084.05 and 5,362.88

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Solution

The fourth proportional to 6,051.80, 9,084.05 and 5,362.88 is: 8,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.80 : 9,084.05 = 5,362.88 : x
  2. Step 2: Convert to fraction form
    6,051.80/9,084.05 = 5,362.88/x
  3. Step 3: Cross multiply
    6,051.80x = 9,084.05 × 5,362.88
  4. Step 4: Simplify right side
    6,051.80x = 48,716,638.05
  5. Step 5: Solve for x
    x = 48,716,638.05/6,051.80
  6. Step 6: Final answer
    x = 8,049.95

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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.