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Finding the Fourth Proportional to 3,307, 4,563.66 and 1,909.75

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Solution

The fourth proportional to 3,307, 4,563.66 and 1,909.75 is: 2,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307 : 4,563.66 = 1,909.75 : x
  2. Step 2: Convert to fraction form
    3,307/4,563.66 = 1,909.75/x
  3. Step 3: Cross multiply
    3,307x = 4,563.66 × 1,909.75
  4. Step 4: Simplify right side
    3,307x = 8,715,449.69
  5. Step 5: Solve for x
    x = 8,715,449.69/3,307
  6. Step 6: Final answer
    x = 2,635.46

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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.