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Finding the Fourth Proportional to 4,288.53, 6,435.24 and 2,314.16

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Solution

The fourth proportional to 4,288.53, 6,435.24 and 2,314.16 is: 3,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.53 : 6,435.24 = 2,314.16 : x
  2. Step 2: Convert to fraction form
    4,288.53/6,435.24 = 2,314.16/x
  3. Step 3: Cross multiply
    4,288.53x = 6,435.24 × 2,314.16
  4. Step 4: Simplify right side
    4,288.53x = 14,892,142.82
  5. Step 5: Solve for x
    x = 14,892,142.82/4,288.53
  6. Step 6: Final answer
    x = 3,472.55

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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.