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Finding the Fourth Proportional to 5,702.69, 8,559.41 and 2,931.31

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Solution

The fourth proportional to 5,702.69, 8,559.41 and 2,931.31 is: 4,399.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.69 : 8,559.41 = 2,931.31 : x
  2. Step 2: Convert to fraction form
    5,702.69/8,559.41 = 2,931.31/x
  3. Step 3: Cross multiply
    5,702.69x = 8,559.41 × 2,931.31
  4. Step 4: Simplify right side
    5,702.69x = 25,090,262.82
  5. Step 5: Solve for x
    x = 25,090,262.82/5,702.69
  6. Step 6: Final answer
    x = 4,399.73

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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.