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Finding the Fourth Proportional to 4,735.65, 7,103.17 and 1,961.30

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Solution

The fourth proportional to 4,735.65, 7,103.17 and 1,961.30 is: 2,941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.65 : 7,103.17 = 1,961.30 : x
  2. Step 2: Convert to fraction form
    4,735.65/7,103.17 = 1,961.30/x
  3. Step 3: Cross multiply
    4,735.65x = 7,103.17 × 1,961.30
  4. Step 4: Simplify right side
    4,735.65x = 13,931,447.32
  5. Step 5: Solve for x
    x = 13,931,447.32/4,735.65
  6. Step 6: Final answer
    x = 2,941.82

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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.