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Finding the Fourth Proportional to 4,967.92, 6,858.18 and 3,404.20

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Solution

The fourth proportional to 4,967.92, 6,858.18 and 3,404.20 is: 4,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.92 : 6,858.18 = 3,404.20 : x
  2. Step 2: Convert to fraction form
    4,967.92/6,858.18 = 3,404.20/x
  3. Step 3: Cross multiply
    4,967.92x = 6,858.18 × 3,404.20
  4. Step 4: Simplify right side
    4,967.92x = 23,346,616.36
  5. Step 5: Solve for x
    x = 23,346,616.36/4,967.92
  6. Step 6: Final answer
    x = 4,699.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.