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Finding the Fourth Proportional to 3,803.02, 5,704.30 and 1,464.14

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Solution

The fourth proportional to 3,803.02, 5,704.30 and 1,464.14 is: 2,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.02 : 5,704.30 = 1,464.14 : x
  2. Step 2: Convert to fraction form
    3,803.02/5,704.30 = 1,464.14/x
  3. Step 3: Cross multiply
    3,803.02x = 5,704.30 × 1,464.14
  4. Step 4: Simplify right side
    3,803.02x = 8,351,893.80
  5. Step 5: Solve for x
    x = 8,351,893.80/3,803.02
  6. Step 6: Final answer
    x = 2,196.12

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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.