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Finding the Fourth Proportional to 3,647.01, 5,033.59 and 2,154.86

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Solution

The fourth proportional to 3,647.01, 5,033.59 and 2,154.86 is: 2,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.01 : 5,033.59 = 2,154.86 : x
  2. Step 2: Convert to fraction form
    3,647.01/5,033.59 = 2,154.86/x
  3. Step 3: Cross multiply
    3,647.01x = 5,033.59 × 2,154.86
  4. Step 4: Simplify right side
    3,647.01x = 10,846,681.75
  5. Step 5: Solve for x
    x = 10,846,681.75/3,647.01
  6. Step 6: Final answer
    x = 2,974.13

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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.