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Finding the Fourth Proportional to 3,727.36, 5,589.76 and 1,536

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Solution

The fourth proportional to 3,727.36, 5,589.76 and 1,536 is: 2,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.36 : 5,589.76 = 1,536 : x
  2. Step 2: Convert to fraction form
    3,727.36/5,589.76 = 1,536/x
  3. Step 3: Cross multiply
    3,727.36x = 5,589.76 × 1,536
  4. Step 4: Simplify right side
    3,727.36x = 8,585,871.36
  5. Step 5: Solve for x
    x = 8,585,871.36/3,727.36
  6. Step 6: Final answer
    x = 2,303.47

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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.