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Finding the Fourth Proportional to 5,307.74, 7,963.27 and 2,189.21

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Solution

The fourth proportional to 5,307.74, 7,963.27 and 2,189.21 is: 3,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.74 : 7,963.27 = 2,189.21 : x
  2. Step 2: Convert to fraction form
    5,307.74/7,963.27 = 2,189.21/x
  3. Step 3: Cross multiply
    5,307.74x = 7,963.27 × 2,189.21
  4. Step 4: Simplify right side
    5,307.74x = 17,433,259.37
  5. Step 5: Solve for x
    x = 17,433,259.37/5,307.74
  6. Step 6: Final answer
    x = 3,284.50

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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.