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Finding the Fourth Proportional to 3,398.79, 5,097.39 and 933.81

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Solution

The fourth proportional to 3,398.79, 5,097.39 and 933.81 is: 1,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.79 : 5,097.39 = 933.81 : x
  2. Step 2: Convert to fraction form
    3,398.79/5,097.39 = 933.81/x
  3. Step 3: Cross multiply
    3,398.79x = 5,097.39 × 933.81
  4. Step 4: Simplify right side
    3,398.79x = 4,759,993.76
  5. Step 5: Solve for x
    x = 4,759,993.76/3,398.79
  6. Step 6: Final answer
    x = 1,400.50

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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.