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Finding the Fourth Proportional to 3,764.95, 5,197.84 and 2,507.76

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Solution

The fourth proportional to 3,764.95, 5,197.84 and 2,507.76 is: 3,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.95 : 5,197.84 = 2,507.76 : x
  2. Step 2: Convert to fraction form
    3,764.95/5,197.84 = 2,507.76/x
  3. Step 3: Cross multiply
    3,764.95x = 5,197.84 × 2,507.76
  4. Step 4: Simplify right side
    3,764.95x = 13,034,928.97
  5. Step 5: Solve for x
    x = 13,034,928.97/3,764.95
  6. Step 6: Final answer
    x = 3,462.18

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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.