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Finding the Fourth Proportional to 3,669.17, 5,503.82 and 895.86

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Solution

The fourth proportional to 3,669.17, 5,503.82 and 895.86 is: 1,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.17 : 5,503.82 = 895.86 : x
  2. Step 2: Convert to fraction form
    3,669.17/5,503.82 = 895.86/x
  3. Step 3: Cross multiply
    3,669.17x = 5,503.82 × 895.86
  4. Step 4: Simplify right side
    3,669.17x = 4,930,647.71
  5. Step 5: Solve for x
    x = 4,930,647.71/3,669.17
  6. Step 6: Final answer
    x = 1,343.81

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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.