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Finding the Fourth Proportional to 4,826.53, 7,239.18 and 1,539.95

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Solution

The fourth proportional to 4,826.53, 7,239.18 and 1,539.95 is: 2,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.53 : 7,239.18 = 1,539.95 : x
  2. Step 2: Convert to fraction form
    4,826.53/7,239.18 = 1,539.95/x
  3. Step 3: Cross multiply
    4,826.53x = 7,239.18 × 1,539.95
  4. Step 4: Simplify right side
    4,826.53x = 11,147,975.24
  5. Step 5: Solve for x
    x = 11,147,975.24/4,826.53
  6. Step 6: Final answer
    x = 2,309.73

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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.