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Finding the Fourth Proportional to 4,232.81, 6,347.43 and 1,599.87

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Solution

The fourth proportional to 4,232.81, 6,347.43 and 1,599.87 is: 2,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.81 : 6,347.43 = 1,599.87 : x
  2. Step 2: Convert to fraction form
    4,232.81/6,347.43 = 1,599.87/x
  3. Step 3: Cross multiply
    4,232.81x = 6,347.43 × 1,599.87
  4. Step 4: Simplify right side
    4,232.81x = 10,155,050.93
  5. Step 5: Solve for x
    x = 10,155,050.93/4,232.81
  6. Step 6: Final answer
    x = 2,399.13

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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.