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Finding the Fourth Proportional to 4,765.30, 7,149.93 and 1,845.70

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Solution

The fourth proportional to 4,765.30, 7,149.93 and 1,845.70 is: 2,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.30 : 7,149.93 = 1,845.70 : x
  2. Step 2: Convert to fraction form
    4,765.30/7,149.93 = 1,845.70/x
  3. Step 3: Cross multiply
    4,765.30x = 7,149.93 × 1,845.70
  4. Step 4: Simplify right side
    4,765.30x = 13,196,625.80
  5. Step 5: Solve for x
    x = 13,196,625.80/4,765.30
  6. Step 6: Final answer
    x = 2,769.32

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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.