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Finding the Fourth Proportional to 6,130.60, 8,462.82 and 3,892.60

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Solution

The fourth proportional to 6,130.60, 8,462.82 and 3,892.60 is: 5,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.60 : 8,462.82 = 3,892.60 : x
  2. Step 2: Convert to fraction form
    6,130.60/8,462.82 = 3,892.60/x
  3. Step 3: Cross multiply
    6,130.60x = 8,462.82 × 3,892.60
  4. Step 4: Simplify right side
    6,130.60x = 32,942,373.13
  5. Step 5: Solve for x
    x = 32,942,373.13/6,130.60
  6. Step 6: Final answer
    x = 5,373.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.