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Finding the Fourth Proportional to 3,398.09, 5,096.35 and 933.11

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Solution

The fourth proportional to 3,398.09, 5,096.35 and 933.11 is: 1,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.09 : 5,096.35 = 933.11 : x
  2. Step 2: Convert to fraction form
    3,398.09/5,096.35 = 933.11/x
  3. Step 3: Cross multiply
    3,398.09x = 5,096.35 × 933.11
  4. Step 4: Simplify right side
    3,398.09x = 4,755,444.70
  5. Step 5: Solve for x
    x = 4,755,444.70/3,398.09
  6. Step 6: Final answer
    x = 1,399.45

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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.