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Finding the Fourth Proportional to 3,641.32, 5,461.98 and 905.32

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Solution

The fourth proportional to 3,641.32, 5,461.98 and 905.32 is: 1,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.32 : 5,461.98 = 905.32 : x
  2. Step 2: Convert to fraction form
    3,641.32/5,461.98 = 905.32/x
  3. Step 3: Cross multiply
    3,641.32x = 5,461.98 × 905.32
  4. Step 4: Simplify right side
    3,641.32x = 4,944,807.90
  5. Step 5: Solve for x
    x = 4,944,807.90/3,641.32
  6. Step 6: Final answer
    x = 1,357.97

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Similar ratio
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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.