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Finding the Fourth Proportional to 4,197.81, 6,288.07 and 2,462.25

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Solution

The fourth proportional to 4,197.81, 6,288.07 and 2,462.25 is: 3,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.81 : 6,288.07 = 2,462.25 : x
  2. Step 2: Convert to fraction form
    4,197.81/6,288.07 = 2,462.25/x
  3. Step 3: Cross multiply
    4,197.81x = 6,288.07 × 2,462.25
  4. Step 4: Simplify right side
    4,197.81x = 15,482,800.36
  5. Step 5: Solve for x
    x = 15,482,800.36/4,197.81
  6. Step 6: Final answer
    x = 3,688.30

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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.