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Finding the Fourth Proportional to 5,699.81, 8,544.25 and 1,801.49

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Solution

The fourth proportional to 5,699.81, 8,544.25 and 1,801.49 is: 2,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.81 : 8,544.25 = 1,801.49 : x
  2. Step 2: Convert to fraction form
    5,699.81/8,544.25 = 1,801.49/x
  3. Step 3: Cross multiply
    5,699.81x = 8,544.25 × 1,801.49
  4. Step 4: Simplify right side
    5,699.81x = 15,392,338.21
  5. Step 5: Solve for x
    x = 15,392,338.21/5,699.81
  6. Step 6: Final answer
    x = 2,700.50

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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.