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Finding the Fourth Proportional to 6,738.58, 10,089.24 and 3,444.58

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Solution

The fourth proportional to 6,738.58, 10,089.24 and 3,444.58 is: 5,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.58 : 10,089.24 = 3,444.58 : x
  2. Step 2: Convert to fraction form
    6,738.58/10,089.24 = 3,444.58/x
  3. Step 3: Cross multiply
    6,738.58x = 10,089.24 × 3,444.58
  4. Step 4: Simplify right side
    6,738.58x = 34,753,194.32
  5. Step 5: Solve for x
    x = 34,753,194.32/6,738.58
  6. Step 6: Final answer
    x = 5,157.35

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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.