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Finding the Fourth Proportional to 3,631.76, 5,447.64 and 895.76

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Solution

The fourth proportional to 3,631.76, 5,447.64 and 895.76 is: 1,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.76 : 5,447.64 = 895.76 : x
  2. Step 2: Convert to fraction form
    3,631.76/5,447.64 = 895.76/x
  3. Step 3: Cross multiply
    3,631.76x = 5,447.64 × 895.76
  4. Step 4: Simplify right side
    3,631.76x = 4,879,778.01
  5. Step 5: Solve for x
    x = 4,879,778.01/3,631.76
  6. Step 6: Final answer
    x = 1,343.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.