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Finding the Fourth Proportional to 5,163.84, 7,125.03 and 3,146.94

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Solution

The fourth proportional to 5,163.84, 7,125.03 and 3,146.94 is: 4,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.84 : 7,125.03 = 3,146.94 : x
  2. Step 2: Convert to fraction form
    5,163.84/7,125.03 = 3,146.94/x
  3. Step 3: Cross multiply
    5,163.84x = 7,125.03 × 3,146.94
  4. Step 4: Simplify right side
    5,163.84x = 22,422,041.91
  5. Step 5: Solve for x
    x = 22,422,041.91/5,163.84
  6. Step 6: Final answer
    x = 4,342.13

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