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Finding the Fourth Proportional to 6,073, 8,376.52 and 3,716.31

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Solution

The fourth proportional to 6,073, 8,376.52 and 3,716.31 is: 5,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073 : 8,376.52 = 3,716.31 : x
  2. Step 2: Convert to fraction form
    6,073/8,376.52 = 3,716.31/x
  3. Step 3: Cross multiply
    6,073x = 8,376.52 × 3,716.31
  4. Step 4: Simplify right side
    6,073x = 31,129,745.04
  5. Step 5: Solve for x
    x = 31,129,745.04/6,073
  6. Step 6: Final answer
    x = 5,125.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.