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Finding the Fourth Proportional to 4,049.38, 6,074.50 and 1,275.98

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Solution

The fourth proportional to 4,049.38, 6,074.50 and 1,275.98 is: 1,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.38 : 6,074.50 = 1,275.98 : x
  2. Step 2: Convert to fraction form
    4,049.38/6,074.50 = 1,275.98/x
  3. Step 3: Cross multiply
    4,049.38x = 6,074.50 × 1,275.98
  4. Step 4: Simplify right side
    4,049.38x = 7,750,940.51
  5. Step 5: Solve for x
    x = 7,750,940.51/4,049.38
  6. Step 6: Final answer
    x = 1,914.11

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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.