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Finding the Fourth Proportional to 4,314, 6,471 and 1,236.24

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Solution

The fourth proportional to 4,314, 6,471 and 1,236.24 is: 1,854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314 : 6,471 = 1,236.24 : x
  2. Step 2: Convert to fraction form
    4,314/6,471 = 1,236.24/x
  3. Step 3: Cross multiply
    4,314x = 6,471 × 1,236.24
  4. Step 4: Simplify right side
    4,314x = 7,999,709.04
  5. Step 5: Solve for x
    x = 7,999,709.04/4,314
  6. Step 6: Final answer
    x = 1,854.36

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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.