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Finding the Fourth Proportional to 5,113.34, 7,671.64 and 3,882.14

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Solution

The fourth proportional to 5,113.34, 7,671.64 and 3,882.14 is: 5,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.34 : 7,671.64 = 3,882.14 : x
  2. Step 2: Convert to fraction form
    5,113.34/7,671.64 = 3,882.14/x
  3. Step 3: Cross multiply
    5,113.34x = 7,671.64 × 3,882.14
  4. Step 4: Simplify right side
    5,113.34x = 29,782,380.51
  5. Step 5: Solve for x
    x = 29,782,380.51/5,113.34
  6. Step 6: Final answer
    x = 5,824.45

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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.