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Finding the Fourth Proportional to 4,729.23, 7,089.19 and 1,765.50

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Solution

The fourth proportional to 4,729.23, 7,089.19 and 1,765.50 is: 2,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.23 : 7,089.19 = 1,765.50 : x
  2. Step 2: Convert to fraction form
    4,729.23/7,089.19 = 1,765.50/x
  3. Step 3: Cross multiply
    4,729.23x = 7,089.19 × 1,765.50
  4. Step 4: Simplify right side
    4,729.23x = 12,515,964.95
  5. Step 5: Solve for x
    x = 12,515,964.95/4,729.23
  6. Step 6: Final answer
    x = 2,646.51

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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.