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Finding the Fourth Proportional to 3,689.40, 5,529.42 and 1,606.92

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Solution

The fourth proportional to 3,689.40, 5,529.42 and 1,606.92 is: 2,408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.40 : 5,529.42 = 1,606.92 : x
  2. Step 2: Convert to fraction form
    3,689.40/5,529.42 = 1,606.92/x
  3. Step 3: Cross multiply
    3,689.40x = 5,529.42 × 1,606.92
  4. Step 4: Simplify right side
    3,689.40x = 8,885,335.59
  5. Step 5: Solve for x
    x = 8,885,335.59/3,689.40
  6. Step 6: Final answer
    x = 2,408.34

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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.