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Finding the Fourth Proportional to 5,603.69, 8,400.52 and 2,314.68

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Solution

The fourth proportional to 5,603.69, 8,400.52 and 2,314.68 is: 3,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.69 : 8,400.52 = 2,314.68 : x
  2. Step 2: Convert to fraction form
    5,603.69/8,400.52 = 2,314.68/x
  3. Step 3: Cross multiply
    5,603.69x = 8,400.52 × 2,314.68
  4. Step 4: Simplify right side
    5,603.69x = 19,444,504.06
  5. Step 5: Solve for x
    x = 19,444,504.06/5,603.69
  6. Step 6: Final answer
    x = 3,469.95

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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.