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Finding the Fourth Proportional to 5,603.78, 7,732.87 and 3,364.34

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Solution

The fourth proportional to 5,603.78, 7,732.87 and 3,364.34 is: 4,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.78 : 7,732.87 = 3,364.34 : x
  2. Step 2: Convert to fraction form
    5,603.78/7,732.87 = 3,364.34/x
  3. Step 3: Cross multiply
    5,603.78x = 7,732.87 × 3,364.34
  4. Step 4: Simplify right side
    5,603.78x = 26,015,956.78
  5. Step 5: Solve for x
    x = 26,015,956.78/5,603.78
  6. Step 6: Final answer
    x = 4,642.57

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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.