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Finding the Fourth Proportional to 3,477.94, 5,213.72 and 1,502.33

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Solution

The fourth proportional to 3,477.94, 5,213.72 and 1,502.33 is: 2,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.94 : 5,213.72 = 1,502.33 : x
  2. Step 2: Convert to fraction form
    3,477.94/5,213.72 = 1,502.33/x
  3. Step 3: Cross multiply
    3,477.94x = 5,213.72 × 1,502.33
  4. Step 4: Simplify right side
    3,477.94x = 7,832,727.97
  5. Step 5: Solve for x
    x = 7,832,727.97/3,477.94
  6. Step 6: Final answer
    x = 2,252.12

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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.