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Finding the Fourth Proportional to 5,293.62, 7,940.56 and 1,595.96

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Solution

The fourth proportional to 5,293.62, 7,940.56 and 1,595.96 is: 2,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.62 : 7,940.56 = 1,595.96 : x
  2. Step 2: Convert to fraction form
    5,293.62/7,940.56 = 1,595.96/x
  3. Step 3: Cross multiply
    5,293.62x = 7,940.56 × 1,595.96
  4. Step 4: Simplify right side
    5,293.62x = 12,672,816.14
  5. Step 5: Solve for x
    x = 12,672,816.14/5,293.62
  6. Step 6: Final answer
    x = 2,393.98

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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.