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Finding the Fourth Proportional to 3,695.98, 5,542.89 and 1,504.30

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Solution

The fourth proportional to 3,695.98, 5,542.89 and 1,504.30 is: 2,256.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.98 : 5,542.89 = 1,504.30 : x
  2. Step 2: Convert to fraction form
    3,695.98/5,542.89 = 1,504.30/x
  3. Step 3: Cross multiply
    3,695.98x = 5,542.89 × 1,504.30
  4. Step 4: Simplify right side
    3,695.98x = 8,338,169.43
  5. Step 5: Solve for x
    x = 8,338,169.43/3,695.98
  6. Step 6: Final answer
    x = 2,256.01

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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.