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Finding the Fourth Proportional to 3,822.53, 5,275.14 and 2,309.88

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Solution

The fourth proportional to 3,822.53, 5,275.14 and 2,309.88 is: 3,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.53 : 5,275.14 = 2,309.88 : x
  2. Step 2: Convert to fraction form
    3,822.53/5,275.14 = 2,309.88/x
  3. Step 3: Cross multiply
    3,822.53x = 5,275.14 × 2,309.88
  4. Step 4: Simplify right side
    3,822.53x = 12,184,921.42
  5. Step 5: Solve for x
    x = 12,184,921.42/3,822.53
  6. Step 6: Final answer
    x = 3,187.66

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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.