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Finding the Fourth Proportional to 3,530.62, 5,294.12 and 1,865.64

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Solution

The fourth proportional to 3,530.62, 5,294.12 and 1,865.64 is: 2,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.62 : 5,294.12 = 1,865.64 : x
  2. Step 2: Convert to fraction form
    3,530.62/5,294.12 = 1,865.64/x
  3. Step 3: Cross multiply
    3,530.62x = 5,294.12 × 1,865.64
  4. Step 4: Simplify right side
    3,530.62x = 9,876,886.24
  5. Step 5: Solve for x
    x = 9,876,886.24/3,530.62
  6. Step 6: Final answer
    x = 2,797.50

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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.