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Finding the Fourth Proportional to 3,709.53, 5,559.17 and 2,884.01

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Solution

The fourth proportional to 3,709.53, 5,559.17 and 2,884.01 is: 4,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.53 : 5,559.17 = 2,884.01 : x
  2. Step 2: Convert to fraction form
    3,709.53/5,559.17 = 2,884.01/x
  3. Step 3: Cross multiply
    3,709.53x = 5,559.17 × 2,884.01
  4. Step 4: Simplify right side
    3,709.53x = 16,032,659.66
  5. Step 5: Solve for x
    x = 16,032,659.66/3,709.53
  6. Step 6: Final answer
    x = 4,322.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.