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Finding the Fourth Proportional to 3,757.03, 5,636.25 and 1,417.73

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Solution

The fourth proportional to 3,757.03, 5,636.25 and 1,417.73 is: 2,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.03 : 5,636.25 = 1,417.73 : x
  2. Step 2: Convert to fraction form
    3,757.03/5,636.25 = 1,417.73/x
  3. Step 3: Cross multiply
    3,757.03x = 5,636.25 × 1,417.73
  4. Step 4: Simplify right side
    3,757.03x = 7,990,707.04
  5. Step 5: Solve for x
    x = 7,990,707.04/3,757.03
  6. Step 6: Final answer
    x = 2,126.87

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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.