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Finding the Fourth Proportional to 5,049.78, 7,574.57 and 1,352.01

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Solution

The fourth proportional to 5,049.78, 7,574.57 and 1,352.01 is: 2,027.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.78 : 7,574.57 = 1,352.01 : x
  2. Step 2: Convert to fraction form
    5,049.78/7,574.57 = 1,352.01/x
  3. Step 3: Cross multiply
    5,049.78x = 7,574.57 × 1,352.01
  4. Step 4: Simplify right side
    5,049.78x = 10,240,894.39
  5. Step 5: Solve for x
    x = 10,240,894.39/5,049.78
  6. Step 6: Final answer
    x = 2,027.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.