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Finding the Fourth Proportional to 6,142.04, 8,478.91 and 4,155.82

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Solution

The fourth proportional to 6,142.04, 8,478.91 and 4,155.82 is: 5,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.04 : 8,478.91 = 4,155.82 : x
  2. Step 2: Convert to fraction form
    6,142.04/8,478.91 = 4,155.82/x
  3. Step 3: Cross multiply
    6,142.04x = 8,478.91 × 4,155.82
  4. Step 4: Simplify right side
    6,142.04x = 35,236,807.75
  5. Step 5: Solve for x
    x = 35,236,807.75/6,142.04
  6. Step 6: Final answer
    x = 5,736.99

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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.