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Finding the Fourth Proportional to 3,223.68, 4,828.48 and 2,356

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Solution

The fourth proportional to 3,223.68, 4,828.48 and 2,356 is: 3,528.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.68 : 4,828.48 = 2,356 : x
  2. Step 2: Convert to fraction form
    3,223.68/4,828.48 = 2,356/x
  3. Step 3: Cross multiply
    3,223.68x = 4,828.48 × 2,356
  4. Step 4: Simplify right side
    3,223.68x = 11,375,898.88
  5. Step 5: Solve for x
    x = 11,375,898.88/3,223.68
  6. Step 6: Final answer
    x = 3,528.85

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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.