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Finding the Fourth Proportional to 5,234.85, 7,852.50 and 2,603.61

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Solution

The fourth proportional to 5,234.85, 7,852.50 and 2,603.61 is: 3,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.85 : 7,852.50 = 2,603.61 : x
  2. Step 2: Convert to fraction form
    5,234.85/7,852.50 = 2,603.61/x
  3. Step 3: Cross multiply
    5,234.85x = 7,852.50 × 2,603.61
  4. Step 4: Simplify right side
    5,234.85x = 20,444,847.53
  5. Step 5: Solve for x
    x = 20,444,847.53/5,234.85
  6. Step 6: Final answer
    x = 3,905.53

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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.