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Finding the Fourth Proportional to 6,127.86, 8,456.64 and 3,475.20

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Solution

The fourth proportional to 6,127.86, 8,456.64 and 3,475.20 is: 4,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.86 : 8,456.64 = 3,475.20 : x
  2. Step 2: Convert to fraction form
    6,127.86/8,456.64 = 3,475.20/x
  3. Step 3: Cross multiply
    6,127.86x = 8,456.64 × 3,475.20
  4. Step 4: Simplify right side
    6,127.86x = 29,388,515.33
  5. Step 5: Solve for x
    x = 29,388,515.33/6,127.86
  6. Step 6: Final answer
    x = 4,795.89

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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.