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Finding the Fourth Proportional to 3,225.11, 4,837.64 and 1,745.01

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Solution

The fourth proportional to 3,225.11, 4,837.64 and 1,745.01 is: 2,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.11 : 4,837.64 = 1,745.01 : x
  2. Step 2: Convert to fraction form
    3,225.11/4,837.64 = 1,745.01/x
  3. Step 3: Cross multiply
    3,225.11x = 4,837.64 × 1,745.01
  4. Step 4: Simplify right side
    3,225.11x = 8,441,721.45
  5. Step 5: Solve for x
    x = 8,441,721.45/3,225.11
  6. Step 6: Final answer
    x = 2,617.50

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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.