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Finding the Fourth Proportional to 5,077.82, 7,615.70 and 1,380.30

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Solution

The fourth proportional to 5,077.82, 7,615.70 and 1,380.30 is: 2,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.82 : 7,615.70 = 1,380.30 : x
  2. Step 2: Convert to fraction form
    5,077.82/7,615.70 = 1,380.30/x
  3. Step 3: Cross multiply
    5,077.82x = 7,615.70 × 1,380.30
  4. Step 4: Simplify right side
    5,077.82x = 10,511,950.71
  5. Step 5: Solve for x
    x = 10,511,950.71/5,077.82
  6. Step 6: Final answer
    x = 2,070.17

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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.