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Finding the Fourth Proportional to 5,293.97, 7,941.76 and 1,595.72

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Solution

The fourth proportional to 5,293.97, 7,941.76 and 1,595.72 is: 2,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.97 : 7,941.76 = 1,595.72 : x
  2. Step 2: Convert to fraction form
    5,293.97/7,941.76 = 1,595.72/x
  3. Step 3: Cross multiply
    5,293.97x = 7,941.76 × 1,595.72
  4. Step 4: Simplify right side
    5,293.97x = 12,672,781.57
  5. Step 5: Solve for x
    x = 12,672,781.57/5,293.97
  6. Step 6: Final answer
    x = 2,393.82

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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.