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Finding the Fourth Proportional to 6,104.66, 8,424.59 and 3,415.79

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Solution

The fourth proportional to 6,104.66, 8,424.59 and 3,415.79 is: 4,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.66 : 8,424.59 = 3,415.79 : x
  2. Step 2: Convert to fraction form
    6,104.66/8,424.59 = 3,415.79/x
  3. Step 3: Cross multiply
    6,104.66x = 8,424.59 × 3,415.79
  4. Step 4: Simplify right side
    6,104.66x = 28,776,634.26
  5. Step 5: Solve for x
    x = 28,776,634.26/6,104.66
  6. Step 6: Final answer
    x = 4,713.88

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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.