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Finding the Fourth Proportional to 5,077.90, 7,617.01 and 1,380.21

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Solution

The fourth proportional to 5,077.90, 7,617.01 and 1,380.21 is: 2,070.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.90 : 7,617.01 = 1,380.21 : x
  2. Step 2: Convert to fraction form
    5,077.90/7,617.01 = 1,380.21/x
  3. Step 3: Cross multiply
    5,077.90x = 7,617.01 × 1,380.21
  4. Step 4: Simplify right side
    5,077.90x = 10,513,069.92
  5. Step 5: Solve for x
    x = 10,513,069.92/5,077.90
  6. Step 6: Final answer
    x = 2,070.36

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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.