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Finding the Fourth Proportional to 3,631.13, 5,446.69 and 895.13

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Solution

The fourth proportional to 3,631.13, 5,446.69 and 895.13 is: 1,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.13 : 5,446.69 = 895.13 : x
  2. Step 2: Convert to fraction form
    3,631.13/5,446.69 = 895.13/x
  3. Step 3: Cross multiply
    3,631.13x = 5,446.69 × 895.13
  4. Step 4: Simplify right side
    3,631.13x = 4,875,466.15
  5. Step 5: Solve for x
    x = 4,875,466.15/3,631.13
  6. Step 6: Final answer
    x = 1,342.69

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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.