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Finding the Fourth Proportional to 3,444.68, 5,165.28 and 1,689.81

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Solution

The fourth proportional to 3,444.68, 5,165.28 and 1,689.81 is: 2,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.68 : 5,165.28 = 1,689.81 : x
  2. Step 2: Convert to fraction form
    3,444.68/5,165.28 = 1,689.81/x
  3. Step 3: Cross multiply
    3,444.68x = 5,165.28 × 1,689.81
  4. Step 4: Simplify right side
    3,444.68x = 8,728,341.80
  5. Step 5: Solve for x
    x = 8,728,341.80/3,444.68
  6. Step 6: Final answer
    x = 2,533.87

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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.