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Finding the Fourth Proportional to 3,700.59, 5,544.65 and 1,724.09

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Solution

The fourth proportional to 3,700.59, 5,544.65 and 1,724.09 is: 2,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.59 : 5,544.65 = 1,724.09 : x
  2. Step 2: Convert to fraction form
    3,700.59/5,544.65 = 1,724.09/x
  3. Step 3: Cross multiply
    3,700.59x = 5,544.65 × 1,724.09
  4. Step 4: Simplify right side
    3,700.59x = 9,559,452.21
  5. Step 5: Solve for x
    x = 9,559,452.21/3,700.59
  6. Step 6: Final answer
    x = 2,583.23

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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.