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Finding the Fourth Proportional to 4,769.74, 6,581.68 and 2,644.75

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Solution

The fourth proportional to 4,769.74, 6,581.68 and 2,644.75 is: 3,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.74 : 6,581.68 = 2,644.75 : x
  2. Step 2: Convert to fraction form
    4,769.74/6,581.68 = 2,644.75/x
  3. Step 3: Cross multiply
    4,769.74x = 6,581.68 × 2,644.75
  4. Step 4: Simplify right side
    4,769.74x = 17,406,907.23
  5. Step 5: Solve for x
    x = 17,406,907.23/4,769.74
  6. Step 6: Final answer
    x = 3,649.45

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