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Finding the Fourth Proportional to 3,606.59, 5,406.68 and 1,265.00

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Solution

The fourth proportional to 3,606.59, 5,406.68 and 1,265.00 is: 1,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.59 : 5,406.68 = 1,265.00 : x
  2. Step 2: Convert to fraction form
    3,606.59/5,406.68 = 1,265.00/x
  3. Step 3: Cross multiply
    3,606.59x = 5,406.68 × 1,265.00
  4. Step 4: Simplify right side
    3,606.59x = 6,839,426.33
  5. Step 5: Solve for x
    x = 6,839,426.33/3,606.59
  6. Step 6: Final answer
    x = 1,896.37

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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.