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Finding the Fourth Proportional to 5,603.85, 7,732.80 and 5,415.12

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Solution

The fourth proportional to 5,603.85, 7,732.80 and 5,415.12 is: 7,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.85 : 7,732.80 = 5,415.12 : x
  2. Step 2: Convert to fraction form
    5,603.85/7,732.80 = 5,415.12/x
  3. Step 3: Cross multiply
    5,603.85x = 7,732.80 × 5,415.12
  4. Step 4: Simplify right side
    5,603.85x = 41,874,039.94
  5. Step 5: Solve for x
    x = 41,874,039.94/5,603.85
  6. Step 6: Final answer
    x = 7,472.37

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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.