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Finding the Fourth Proportional to 5,151.94, 7,724.26 and 3,671.16

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Solution

The fourth proportional to 5,151.94, 7,724.26 and 3,671.16 is: 5,504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.94 : 7,724.26 = 3,671.16 : x
  2. Step 2: Convert to fraction form
    5,151.94/7,724.26 = 3,671.16/x
  3. Step 3: Cross multiply
    5,151.94x = 7,724.26 × 3,671.16
  4. Step 4: Simplify right side
    5,151.94x = 28,356,969.96
  5. Step 5: Solve for x
    x = 28,356,969.96/5,151.94
  6. Step 6: Final answer
    x = 5,504.14

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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.