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Finding the Fourth Proportional to 3,290.63, 4,542.99 and 2,506.14

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Solution

The fourth proportional to 3,290.63, 4,542.99 and 2,506.14 is: 3,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.63 : 4,542.99 = 2,506.14 : x
  2. Step 2: Convert to fraction form
    3,290.63/4,542.99 = 2,506.14/x
  3. Step 3: Cross multiply
    3,290.63x = 4,542.99 × 2,506.14
  4. Step 4: Simplify right side
    3,290.63x = 11,385,359.56
  5. Step 5: Solve for x
    x = 11,385,359.56/3,290.63
  6. Step 6: Final answer
    x = 3,459.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.