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Finding the Fourth Proportional to 5,603.95, 7,733.08 and 3,213.89

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Solution

The fourth proportional to 5,603.95, 7,733.08 and 3,213.89 is: 4,434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.95 : 7,733.08 = 3,213.89 : x
  2. Step 2: Convert to fraction form
    5,603.95/7,733.08 = 3,213.89/x
  3. Step 3: Cross multiply
    5,603.95x = 7,733.08 × 3,213.89
  4. Step 4: Simplify right side
    5,603.95x = 24,853,268.48
  5. Step 5: Solve for x
    x = 24,853,268.48/5,603.95
  6. Step 6: Final answer
    x = 4,434.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.