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Finding the Fourth Proportional to 4,064.39, 6,096.59 and 1,293

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Solution

The fourth proportional to 4,064.39, 6,096.59 and 1,293 is: 1,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.39 : 6,096.59 = 1,293 : x
  2. Step 2: Convert to fraction form
    4,064.39/6,096.59 = 1,293/x
  3. Step 3: Cross multiply
    4,064.39x = 6,096.59 × 1,293
  4. Step 4: Simplify right side
    4,064.39x = 7,882,890.87
  5. Step 5: Solve for x
    x = 7,882,890.87/4,064.39
  6. Step 6: Final answer
    x = 1,939.50

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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.