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Finding the Fourth Proportional to 3,761.81, 5,643.08 and 1,296.30

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Solution

The fourth proportional to 3,761.81, 5,643.08 and 1,296.30 is: 1,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.81 : 5,643.08 = 1,296.30 : x
  2. Step 2: Convert to fraction form
    3,761.81/5,643.08 = 1,296.30/x
  3. Step 3: Cross multiply
    3,761.81x = 5,643.08 × 1,296.30
  4. Step 4: Simplify right side
    3,761.81x = 7,315,118.12
  5. Step 5: Solve for x
    x = 7,315,118.12/3,761.81
  6. Step 6: Final answer
    x = 1,944.58

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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.