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Finding the Fourth Proportional to 5,293.42, 7,939.55 and 1,594.82

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Solution

The fourth proportional to 5,293.42, 7,939.55 and 1,594.82 is: 2,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.42 : 7,939.55 = 1,594.82 : x
  2. Step 2: Convert to fraction form
    5,293.42/7,939.55 = 1,594.82/x
  3. Step 3: Cross multiply
    5,293.42x = 7,939.55 × 1,594.82
  4. Step 4: Simplify right side
    5,293.42x = 12,662,176.97
  5. Step 5: Solve for x
    x = 12,662,176.97/5,293.42
  6. Step 6: Final answer
    x = 2,392.06

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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.