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Finding the Fourth Proportional to 3,642.27, 5,464.21 and 1,045

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Solution

The fourth proportional to 3,642.27, 5,464.21 and 1,045 is: 1,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.27 : 5,464.21 = 1,045 : x
  2. Step 2: Convert to fraction form
    3,642.27/5,464.21 = 1,045/x
  3. Step 3: Cross multiply
    3,642.27x = 5,464.21 × 1,045
  4. Step 4: Simplify right side
    3,642.27x = 5,710,099.45
  5. Step 5: Solve for x
    x = 5,710,099.45/3,642.27
  6. Step 6: Final answer
    x = 1,567.73

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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.