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Finding the Fourth Proportional to 4,935.72, 6,806.07 and 3,871.50

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Solution

The fourth proportional to 4,935.72, 6,806.07 and 3,871.50 is: 5,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.72 : 6,806.07 = 3,871.50 : x
  2. Step 2: Convert to fraction form
    4,935.72/6,806.07 = 3,871.50/x
  3. Step 3: Cross multiply
    4,935.72x = 6,806.07 × 3,871.50
  4. Step 4: Simplify right side
    4,935.72x = 26,349,700.01
  5. Step 5: Solve for x
    x = 26,349,700.01/4,935.72
  6. Step 6: Final answer
    x = 5,338.57

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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.