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Finding the Fourth Proportional to 5,314.95, 7,967.51 and 2,351.82

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Solution

The fourth proportional to 5,314.95, 7,967.51 and 2,351.82 is: 3,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.95 : 7,967.51 = 2,351.82 : x
  2. Step 2: Convert to fraction form
    5,314.95/7,967.51 = 2,351.82/x
  3. Step 3: Cross multiply
    5,314.95x = 7,967.51 × 2,351.82
  4. Step 4: Simplify right side
    5,314.95x = 18,738,157.53
  5. Step 5: Solve for x
    x = 18,738,157.53/5,314.95
  6. Step 6: Final answer
    x = 3,525.56

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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.