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Finding the Fourth Proportional to 3,270.71, 4,897.07 and 2,284.51

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Solution

The fourth proportional to 3,270.71, 4,897.07 and 2,284.51 is: 3,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.71 : 4,897.07 = 2,284.51 : x
  2. Step 2: Convert to fraction form
    3,270.71/4,897.07 = 2,284.51/x
  3. Step 3: Cross multiply
    3,270.71x = 4,897.07 × 2,284.51
  4. Step 4: Simplify right side
    3,270.71x = 11,187,405.39
  5. Step 5: Solve for x
    x = 11,187,405.39/3,270.71
  6. Step 6: Final answer
    x = 3,420.48

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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.