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Finding the Fourth Proportional to 3,664.91, 5,502.87 and 3,537.34

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Solution

The fourth proportional to 3,664.91, 5,502.87 and 3,537.34 is: 5,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.91 : 5,502.87 = 3,537.34 : x
  2. Step 2: Convert to fraction form
    3,664.91/5,502.87 = 3,537.34/x
  3. Step 3: Cross multiply
    3,664.91x = 5,502.87 × 3,537.34
  4. Step 4: Simplify right side
    3,664.91x = 19,465,508.41
  5. Step 5: Solve for x
    x = 19,465,508.41/3,664.91
  6. Step 6: Final answer
    x = 5,311.32

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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.