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Finding the Fourth Proportional to 3,398.74, 5,097.88 and 933.35

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Solution

The fourth proportional to 3,398.74, 5,097.88 and 933.35 is: 1,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.74 : 5,097.88 = 933.35 : x
  2. Step 2: Convert to fraction form
    3,398.74/5,097.88 = 933.35/x
  3. Step 3: Cross multiply
    3,398.74x = 5,097.88 × 933.35
  4. Step 4: Simplify right side
    3,398.74x = 4,758,101.63
  5. Step 5: Solve for x
    x = 4,758,101.63/3,398.74
  6. Step 6: Final answer
    x = 1,399.96

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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.