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Finding the Fourth Proportional to 5,169.32, 7,131.44 and 4,045.74

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Solution

The fourth proportional to 5,169.32, 7,131.44 and 4,045.74 is: 5,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.32 : 7,131.44 = 4,045.74 : x
  2. Step 2: Convert to fraction form
    5,169.32/7,131.44 = 4,045.74/x
  3. Step 3: Cross multiply
    5,169.32x = 7,131.44 × 4,045.74
  4. Step 4: Simplify right side
    5,169.32x = 28,851,952.07
  5. Step 5: Solve for x
    x = 28,851,952.07/5,169.32
  6. Step 6: Final answer
    x = 5,581.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.