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Finding the Fourth Proportional to 5,118.69, 7,676.72 and 1,831.31

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Solution

The fourth proportional to 5,118.69, 7,676.72 and 1,831.31 is: 2,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.69 : 7,676.72 = 1,831.31 : x
  2. Step 2: Convert to fraction form
    5,118.69/7,676.72 = 1,831.31/x
  3. Step 3: Cross multiply
    5,118.69x = 7,676.72 × 1,831.31
  4. Step 4: Simplify right side
    5,118.69x = 14,058,452.52
  5. Step 5: Solve for x
    x = 14,058,452.52/5,118.69
  6. Step 6: Final answer
    x = 2,746.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.