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Finding the Fourth Proportional to 3,782.68, 5,675.63 and 3,460.30

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Solution

The fourth proportional to 3,782.68, 5,675.63 and 3,460.30 is: 5,191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.68 : 5,675.63 = 3,460.30 : x
  2. Step 2: Convert to fraction form
    3,782.68/5,675.63 = 3,460.30/x
  3. Step 3: Cross multiply
    3,782.68x = 5,675.63 × 3,460.30
  4. Step 4: Simplify right side
    3,782.68x = 19,639,376.95
  5. Step 5: Solve for x
    x = 19,639,376.95/3,782.68
  6. Step 6: Final answer
    x = 5,191.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.