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Finding the Fourth Proportional to 6,170.58, 9,256.86 and 3,398.56

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Solution

The fourth proportional to 6,170.58, 9,256.86 and 3,398.56 is: 5,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.58 : 9,256.86 = 3,398.56 : x
  2. Step 2: Convert to fraction form
    6,170.58/9,256.86 = 3,398.56/x
  3. Step 3: Cross multiply
    6,170.58x = 9,256.86 × 3,398.56
  4. Step 4: Simplify right side
    6,170.58x = 31,459,970.98
  5. Step 5: Solve for x
    x = 31,459,970.98/6,170.58
  6. Step 6: Final answer
    x = 5,098.38

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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.