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Finding the Fourth Proportional to 5,149.37, 7,724.06 and 1,253.77

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Solution

The fourth proportional to 5,149.37, 7,724.06 and 1,253.77 is: 1,880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.37 : 7,724.06 = 1,253.77 : x
  2. Step 2: Convert to fraction form
    5,149.37/7,724.06 = 1,253.77/x
  3. Step 3: Cross multiply
    5,149.37x = 7,724.06 × 1,253.77
  4. Step 4: Simplify right side
    5,149.37x = 9,684,169.13
  5. Step 5: Solve for x
    x = 9,684,169.13/5,149.37
  6. Step 6: Final answer
    x = 1,880.65

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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.