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Finding the Fourth Proportional to 4,223.79, 6,337.48 and 2,273.72

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Solution

The fourth proportional to 4,223.79, 6,337.48 and 2,273.72 is: 3,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.79 : 6,337.48 = 2,273.72 : x
  2. Step 2: Convert to fraction form
    4,223.79/6,337.48 = 2,273.72/x
  3. Step 3: Cross multiply
    4,223.79x = 6,337.48 × 2,273.72
  4. Step 4: Simplify right side
    4,223.79x = 14,409,633.50
  5. Step 5: Solve for x
    x = 14,409,633.50/4,223.79
  6. Step 6: Final answer
    x = 3,411.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.