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Finding the Fourth Proportional to 3,647.66, 5,033.49 and 2,155.46

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Solution

The fourth proportional to 3,647.66, 5,033.49 and 2,155.46 is: 2,974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.66 : 5,033.49 = 2,155.46 : x
  2. Step 2: Convert to fraction form
    3,647.66/5,033.49 = 2,155.46/x
  3. Step 3: Cross multiply
    3,647.66x = 5,033.49 × 2,155.46
  4. Step 4: Simplify right side
    3,647.66x = 10,849,486.36
  5. Step 5: Solve for x
    x = 10,849,486.36/3,647.66
  6. Step 6: Final answer
    x = 2,974.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.