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Finding the Fourth Proportional to 3,632.02, 5,440.74 and 1,897

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Solution

The fourth proportional to 3,632.02, 5,440.74 and 1,897 is: 2,841.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.02 : 5,440.74 = 1,897 : x
  2. Step 2: Convert to fraction form
    3,632.02/5,440.74 = 1,897/x
  3. Step 3: Cross multiply
    3,632.02x = 5,440.74 × 1,897
  4. Step 4: Simplify right side
    3,632.02x = 10,321,083.78
  5. Step 5: Solve for x
    x = 10,321,083.78/3,632.02
  6. Step 6: Final answer
    x = 2,841.69

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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.