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Finding the Fourth Proportional to 4,223.84, 6,337.28 and 1,883.64

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Solution

The fourth proportional to 4,223.84, 6,337.28 and 1,883.64 is: 2,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.84 : 6,337.28 = 1,883.64 : x
  2. Step 2: Convert to fraction form
    4,223.84/6,337.28 = 1,883.64/x
  3. Step 3: Cross multiply
    4,223.84x = 6,337.28 × 1,883.64
  4. Step 4: Simplify right side
    4,223.84x = 11,937,144.68
  5. Step 5: Solve for x
    x = 11,937,144.68/4,223.84
  6. Step 6: Final answer
    x = 2,826.13

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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.