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Finding the Fourth Proportional to 3,398.32, 5,097.43 and 933.32

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Solution

The fourth proportional to 3,398.32, 5,097.43 and 933.32 is: 1,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.32 : 5,097.43 = 933.32 : x
  2. Step 2: Convert to fraction form
    3,398.32/5,097.43 = 933.32/x
  3. Step 3: Cross multiply
    3,398.32x = 5,097.43 × 933.32
  4. Step 4: Simplify right side
    3,398.32x = 4,757,547.28
  5. Step 5: Solve for x
    x = 4,757,547.28/3,398.32
  6. Step 6: Final answer
    x = 1,399.97

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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.