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Finding the Fourth Proportional to 4,226, 5,831.88 and 2,363

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Solution

The fourth proportional to 4,226, 5,831.88 and 2,363 is: 3,260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226 : 5,831.88 = 2,363 : x
  2. Step 2: Convert to fraction form
    4,226/5,831.88 = 2,363/x
  3. Step 3: Cross multiply
    4,226x = 5,831.88 × 2,363
  4. Step 4: Simplify right side
    4,226x = 13,780,732.44
  5. Step 5: Solve for x
    x = 13,780,732.44/4,226
  6. Step 6: Final answer
    x = 3,260.94

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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.