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Finding the Fourth Proportional to 4,765.80, 6,573.65 and 3,769.50

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Solution

The fourth proportional to 4,765.80, 6,573.65 and 3,769.50 is: 5,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.80 : 6,573.65 = 3,769.50 : x
  2. Step 2: Convert to fraction form
    4,765.80/6,573.65 = 3,769.50/x
  3. Step 3: Cross multiply
    4,765.80x = 6,573.65 × 3,769.50
  4. Step 4: Simplify right side
    4,765.80x = 24,779,354.83
  5. Step 5: Solve for x
    x = 24,779,354.83/4,765.80
  6. Step 6: Final answer
    x = 5,199.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.