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Finding the Fourth Proportional to 5,113.45, 7,671.41 and 1,781.21

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Solution

The fourth proportional to 5,113.45, 7,671.41 and 1,781.21 is: 2,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.45 : 7,671.41 = 1,781.21 : x
  2. Step 2: Convert to fraction form
    5,113.45/7,671.41 = 1,781.21/x
  3. Step 3: Cross multiply
    5,113.45x = 7,671.41 × 1,781.21
  4. Step 4: Simplify right side
    5,113.45x = 13,664,383.30
  5. Step 5: Solve for x
    x = 13,664,383.30/5,113.45
  6. Step 6: Final answer
    x = 2,672.24

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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.