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Finding the Fourth Proportional to 3,589.88, 5,384.85 and 3,101.48

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Solution

The fourth proportional to 3,589.88, 5,384.85 and 3,101.48 is: 4,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.88 : 5,384.85 = 3,101.48 : x
  2. Step 2: Convert to fraction form
    3,589.88/5,384.85 = 3,101.48/x
  3. Step 3: Cross multiply
    3,589.88x = 5,384.85 × 3,101.48
  4. Step 4: Simplify right side
    3,589.88x = 16,701,004.58
  5. Step 5: Solve for x
    x = 16,701,004.58/3,589.88
  6. Step 6: Final answer
    x = 4,652.25

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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.