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Finding the Fourth Proportional to 3,398.47, 5,097.77 and 933.28

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Solution

The fourth proportional to 3,398.47, 5,097.77 and 933.28 is: 1,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.47 : 5,097.77 = 933.28 : x
  2. Step 2: Convert to fraction form
    3,398.47/5,097.77 = 933.28/x
  3. Step 3: Cross multiply
    3,398.47x = 5,097.77 × 933.28
  4. Step 4: Simplify right side
    3,398.47x = 4,757,625.71
  5. Step 5: Solve for x
    x = 4,757,625.71/3,398.47
  6. Step 6: Final answer
    x = 1,399.93

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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.