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Finding the Fourth Proportional to 3,398.44, 5,097.24 and 933.46

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Solution

The fourth proportional to 3,398.44, 5,097.24 and 933.46 is: 1,400.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.44 : 5,097.24 = 933.46 : x
  2. Step 2: Convert to fraction form
    3,398.44/5,097.24 = 933.46/x
  3. Step 3: Cross multiply
    3,398.44x = 5,097.24 × 933.46
  4. Step 4: Simplify right side
    3,398.44x = 4,758,069.65
  5. Step 5: Solve for x
    x = 4,758,069.65/3,398.44
  6. Step 6: Final answer
    x = 1,400.07

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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.