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Finding the Fourth Proportional to 3,467.90, 5,200.68 and 1,001.90

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Solution

The fourth proportional to 3,467.90, 5,200.68 and 1,001.90 is: 1,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.90 : 5,200.68 = 1,001.90 : x
  2. Step 2: Convert to fraction form
    3,467.90/5,200.68 = 1,001.90/x
  3. Step 3: Cross multiply
    3,467.90x = 5,200.68 × 1,001.90
  4. Step 4: Simplify right side
    3,467.90x = 5,210,561.29
  5. Step 5: Solve for x
    x = 5,210,561.29/3,467.90
  6. Step 6: Final answer
    x = 1,502.51

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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.