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Finding the Fourth Proportional to 5,014.34, 6,924.93 and 4,234.58

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Solution

The fourth proportional to 5,014.34, 6,924.93 and 4,234.58 is: 5,848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,014.34 : 6,924.93 = 4,234.58 : x
  2. Step 2: Convert to fraction form
    5,014.34/6,924.93 = 4,234.58/x
  3. Step 3: Cross multiply
    5,014.34x = 6,924.93 × 4,234.58
  4. Step 4: Simplify right side
    5,014.34x = 29,324,170.08
  5. Step 5: Solve for x
    x = 29,324,170.08/5,014.34
  6. Step 6: Final answer
    x = 5,848.06

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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.