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Finding the Fourth Proportional to 4,296, 6,448.59 and 1,831.98

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Solution

The fourth proportional to 4,296, 6,448.59 and 1,831.98 is: 2,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296 : 6,448.59 = 1,831.98 : x
  2. Step 2: Convert to fraction form
    4,296/6,448.59 = 1,831.98/x
  3. Step 3: Cross multiply
    4,296x = 6,448.59 × 1,831.98
  4. Step 4: Simplify right side
    4,296x = 11,813,687.91
  5. Step 5: Solve for x
    x = 11,813,687.91/4,296
  6. Step 6: Final answer
    x = 2,749.93

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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.