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Finding the Fourth Proportional to 3,607.48, 5,411.22 and 1,661.05

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Solution

The fourth proportional to 3,607.48, 5,411.22 and 1,661.05 is: 2,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.48 : 5,411.22 = 1,661.05 : x
  2. Step 2: Convert to fraction form
    3,607.48/5,411.22 = 1,661.05/x
  3. Step 3: Cross multiply
    3,607.48x = 5,411.22 × 1,661.05
  4. Step 4: Simplify right side
    3,607.48x = 8,988,306.98
  5. Step 5: Solve for x
    x = 8,988,306.98/3,607.48
  6. Step 6: Final answer
    x = 2,491.58

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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.