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Finding the Fourth Proportional to 4,223.92, 6,336.47 and 1,302.46

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Solution

The fourth proportional to 4,223.92, 6,336.47 and 1,302.46 is: 1,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.92 : 6,336.47 = 1,302.46 : x
  2. Step 2: Convert to fraction form
    4,223.92/6,336.47 = 1,302.46/x
  3. Step 3: Cross multiply
    4,223.92x = 6,336.47 × 1,302.46
  4. Step 4: Simplify right side
    4,223.92x = 8,252,998.72
  5. Step 5: Solve for x
    x = 8,252,998.72/4,223.92
  6. Step 6: Final answer
    x = 1,953.87

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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.