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Finding the Fourth Proportional to 3,296.70, 4,945.05 and 2,886.30

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Solution

The fourth proportional to 3,296.70, 4,945.05 and 2,886.30 is: 4,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.70 : 4,945.05 = 2,886.30 : x
  2. Step 2: Convert to fraction form
    3,296.70/4,945.05 = 2,886.30/x
  3. Step 3: Cross multiply
    3,296.70x = 4,945.05 × 2,886.30
  4. Step 4: Simplify right side
    3,296.70x = 14,272,897.82
  5. Step 5: Solve for x
    x = 14,272,897.82/3,296.70
  6. Step 6: Final answer
    x = 4,329.45

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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.