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Finding the Fourth Proportional to 5,294.02, 7,944.23 and 1,833.70

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Solution

The fourth proportional to 5,294.02, 7,944.23 and 1,833.70 is: 2,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.02 : 7,944.23 = 1,833.70 : x
  2. Step 2: Convert to fraction form
    5,294.02/7,944.23 = 1,833.70/x
  3. Step 3: Cross multiply
    5,294.02x = 7,944.23 × 1,833.70
  4. Step 4: Simplify right side
    5,294.02x = 14,567,334.55
  5. Step 5: Solve for x
    x = 14,567,334.55/5,294.02
  6. Step 6: Final answer
    x = 2,751.66

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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.