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Finding the Fourth Proportional to 4,900.52, 7,346.23 and 1,779.80

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Solution

The fourth proportional to 4,900.52, 7,346.23 and 1,779.80 is: 2,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.52 : 7,346.23 = 1,779.80 : x
  2. Step 2: Convert to fraction form
    4,900.52/7,346.23 = 1,779.80/x
  3. Step 3: Cross multiply
    4,900.52x = 7,346.23 × 1,779.80
  4. Step 4: Simplify right side
    4,900.52x = 13,074,778.97
  5. Step 5: Solve for x
    x = 13,074,778.97/4,900.52
  6. Step 6: Final answer
    x = 2,668.04

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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.