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Finding the Fourth Proportional to 3,622.66, 5,434.53 and 1,673.80

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Solution

The fourth proportional to 3,622.66, 5,434.53 and 1,673.80 is: 2,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.66 : 5,434.53 = 1,673.80 : x
  2. Step 2: Convert to fraction form
    3,622.66/5,434.53 = 1,673.80/x
  3. Step 3: Cross multiply
    3,622.66x = 5,434.53 × 1,673.80
  4. Step 4: Simplify right side
    3,622.66x = 9,096,316.31
  5. Step 5: Solve for x
    x = 9,096,316.31/3,622.66
  6. Step 6: Final answer
    x = 2,510.95

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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.