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Finding the Fourth Proportional to 4,497.24, 6,745.22 and 1,419.16

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Solution

The fourth proportional to 4,497.24, 6,745.22 and 1,419.16 is: 2,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.24 : 6,745.22 = 1,419.16 : x
  2. Step 2: Convert to fraction form
    4,497.24/6,745.22 = 1,419.16/x
  3. Step 3: Cross multiply
    4,497.24x = 6,745.22 × 1,419.16
  4. Step 4: Simplify right side
    4,497.24x = 9,572,546.42
  5. Step 5: Solve for x
    x = 9,572,546.42/4,497.24
  6. Step 6: Final answer
    x = 2,128.54

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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.