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Finding the Fourth Proportional to 5,293.53, 7,939.04 and 1,594.88

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Solution

The fourth proportional to 5,293.53, 7,939.04 and 1,594.88 is: 2,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.53 : 7,939.04 = 1,594.88 : x
  2. Step 2: Convert to fraction form
    5,293.53/7,939.04 = 1,594.88/x
  3. Step 3: Cross multiply
    5,293.53x = 7,939.04 × 1,594.88
  4. Step 4: Simplify right side
    5,293.53x = 12,661,768.45
  5. Step 5: Solve for x
    x = 12,661,768.45/5,293.53
  6. Step 6: Final answer
    x = 2,391.93

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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.