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Finding the Fourth Proportional to 3,632.08, 5,443.08 and 1,897.24

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Solution

The fourth proportional to 3,632.08, 5,443.08 and 1,897.24 is: 2,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.08 : 5,443.08 = 1,897.24 : x
  2. Step 2: Convert to fraction form
    3,632.08/5,443.08 = 1,897.24/x
  3. Step 3: Cross multiply
    3,632.08x = 5,443.08 × 1,897.24
  4. Step 4: Simplify right side
    3,632.08x = 10,326,829.10
  5. Step 5: Solve for x
    x = 10,326,829.10/3,632.08
  6. Step 6: Final answer
    x = 2,843.23

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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.