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Finding the Fourth Proportional to 5,530.83, 7,633.53 and 3,294

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Solution

The fourth proportional to 5,530.83, 7,633.53 and 3,294 is: 4,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.83 : 7,633.53 = 3,294 : x
  2. Step 2: Convert to fraction form
    5,530.83/7,633.53 = 3,294/x
  3. Step 3: Cross multiply
    5,530.83x = 7,633.53 × 3,294
  4. Step 4: Simplify right side
    5,530.83x = 25,144,847.82
  5. Step 5: Solve for x
    x = 25,144,847.82/5,530.83
  6. Step 6: Final answer
    x = 4,546.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.