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Finding the Fourth Proportional to 5,014.66, 7,524.42 and 2,381.76

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Solution

The fourth proportional to 5,014.66, 7,524.42 and 2,381.76 is: 3,573.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,014.66 : 7,524.42 = 2,381.76 : x
  2. Step 2: Convert to fraction form
    5,014.66/7,524.42 = 2,381.76/x
  3. Step 3: Cross multiply
    5,014.66x = 7,524.42 × 2,381.76
  4. Step 4: Simplify right side
    5,014.66x = 17,921,362.58
  5. Step 5: Solve for x
    x = 17,921,362.58/5,014.66
  6. Step 6: Final answer
    x = 3,573.79

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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.