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Finding the Fourth Proportional to 5,975.74, 8,949 and 5,159.26

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Solution

The fourth proportional to 5,975.74, 8,949 and 5,159.26 is: 7,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.74 : 8,949 = 5,159.26 : x
  2. Step 2: Convert to fraction form
    5,975.74/8,949 = 5,159.26/x
  3. Step 3: Cross multiply
    5,975.74x = 8,949 × 5,159.26
  4. Step 4: Simplify right side
    5,975.74x = 46,170,217.74
  5. Step 5: Solve for x
    x = 46,170,217.74/5,975.74
  6. Step 6: Final answer
    x = 7,726.28

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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.