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Finding the Fourth Proportional to 3,658, 5,487.72 and 1,606

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Solution

The fourth proportional to 3,658, 5,487.72 and 1,606 is: 2,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658 : 5,487.72 = 1,606 : x
  2. Step 2: Convert to fraction form
    3,658/5,487.72 = 1,606/x
  3. Step 3: Cross multiply
    3,658x = 5,487.72 × 1,606
  4. Step 4: Simplify right side
    3,658x = 8,813,278.32
  5. Step 5: Solve for x
    x = 8,813,278.32/3,658
  6. Step 6: Final answer
    x = 2,409.32

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