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Finding the Fourth Proportional to 3,502.91, 5,256.41 and 1,313.17

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Solution

The fourth proportional to 3,502.91, 5,256.41 and 1,313.17 is: 1,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.91 : 5,256.41 = 1,313.17 : x
  2. Step 2: Convert to fraction form
    3,502.91/5,256.41 = 1,313.17/x
  3. Step 3: Cross multiply
    3,502.91x = 5,256.41 × 1,313.17
  4. Step 4: Simplify right side
    3,502.91x = 6,902,540.21
  5. Step 5: Solve for x
    x = 6,902,540.21/3,502.91
  6. Step 6: Final answer
    x = 1,970.51

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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.