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Finding the Fourth Proportional to 3,296.34, 4,945.68 and 1,542.15

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Solution

The fourth proportional to 3,296.34, 4,945.68 and 1,542.15 is: 2,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.34 : 4,945.68 = 1,542.15 : x
  2. Step 2: Convert to fraction form
    3,296.34/4,945.68 = 1,542.15/x
  3. Step 3: Cross multiply
    3,296.34x = 4,945.68 × 1,542.15
  4. Step 4: Simplify right side
    3,296.34x = 7,626,980.41
  5. Step 5: Solve for x
    x = 7,626,980.41/3,296.34
  6. Step 6: Final answer
    x = 2,313.77

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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.