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Finding the Fourth Proportional to 3,398.30, 5,097.12 and 933.49

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Solution

The fourth proportional to 3,398.30, 5,097.12 and 933.49 is: 1,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.30 : 5,097.12 = 933.49 : x
  2. Step 2: Convert to fraction form
    3,398.30/5,097.12 = 933.49/x
  3. Step 3: Cross multiply
    3,398.30x = 5,097.12 × 933.49
  4. Step 4: Simplify right side
    3,398.30x = 4,758,085.06
  5. Step 5: Solve for x
    x = 4,758,085.06/3,398.30
  6. Step 6: Final answer
    x = 1,400.14

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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.