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Finding the Fourth Proportional to 3,365.07, 5,046.82 and 1,284.31

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Solution

The fourth proportional to 3,365.07, 5,046.82 and 1,284.31 is: 1,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.07 : 5,046.82 = 1,284.31 : x
  2. Step 2: Convert to fraction form
    3,365.07/5,046.82 = 1,284.31/x
  3. Step 3: Cross multiply
    3,365.07x = 5,046.82 × 1,284.31
  4. Step 4: Simplify right side
    3,365.07x = 6,481,681.39
  5. Step 5: Solve for x
    x = 6,481,681.39/3,365.07
  6. Step 6: Final answer
    x = 1,926.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.