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Finding the Fourth Proportional to 4,496.86, 6,745.36 and 1,575.15

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Solution

The fourth proportional to 4,496.86, 6,745.36 and 1,575.15 is: 2,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.86 : 6,745.36 = 1,575.15 : x
  2. Step 2: Convert to fraction form
    4,496.86/6,745.36 = 1,575.15/x
  3. Step 3: Cross multiply
    4,496.86x = 6,745.36 × 1,575.15
  4. Step 4: Simplify right side
    4,496.86x = 10,624,949.87
  5. Step 5: Solve for x
    x = 10,624,949.87/4,496.86
  6. Step 6: Final answer
    x = 2,362.75

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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.