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Finding the Fourth Proportional to 4,131.74, 6,203.03 and 4,085.10

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Solution

The fourth proportional to 4,131.74, 6,203.03 and 4,085.10 is: 6,133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.74 : 6,203.03 = 4,085.10 : x
  2. Step 2: Convert to fraction form
    4,131.74/6,203.03 = 4,085.10/x
  3. Step 3: Cross multiply
    4,131.74x = 6,203.03 × 4,085.10
  4. Step 4: Simplify right side
    4,131.74x = 25,339,977.43
  5. Step 5: Solve for x
    x = 25,339,977.43/4,131.74
  6. Step 6: Final answer
    x = 6,133.01

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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.