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Finding the Fourth Proportional to 3,849.64, 5,313 and 2,357.74

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Solution

The fourth proportional to 3,849.64, 5,313 and 2,357.74 is: 3,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.64 : 5,313 = 2,357.74 : x
  2. Step 2: Convert to fraction form
    3,849.64/5,313 = 2,357.74/x
  3. Step 3: Cross multiply
    3,849.64x = 5,313 × 2,357.74
  4. Step 4: Simplify right side
    3,849.64x = 12,526,672.62
  5. Step 5: Solve for x
    x = 12,526,672.62/3,849.64
  6. Step 6: Final answer
    x = 3,253.99

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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.