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Finding the Fourth Proportional to 5,076.09, 7,612.52 and 1,612.53

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Solution

The fourth proportional to 5,076.09, 7,612.52 and 1,612.53 is: 2,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.09 : 7,612.52 = 1,612.53 : x
  2. Step 2: Convert to fraction form
    5,076.09/7,612.52 = 1,612.53/x
  3. Step 3: Cross multiply
    5,076.09x = 7,612.52 × 1,612.53
  4. Step 4: Simplify right side
    5,076.09x = 12,275,408.81
  5. Step 5: Solve for x
    x = 12,275,408.81/5,076.09
  6. Step 6: Final answer
    x = 2,418.28

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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.