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Finding the Fourth Proportional to 4,745.64, 7,118.42 and 1,625.61

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Solution

The fourth proportional to 4,745.64, 7,118.42 and 1,625.61 is: 2,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.64 : 7,118.42 = 1,625.61 : x
  2. Step 2: Convert to fraction form
    4,745.64/7,118.42 = 1,625.61/x
  3. Step 3: Cross multiply
    4,745.64x = 7,118.42 × 1,625.61
  4. Step 4: Simplify right side
    4,745.64x = 11,571,766.61
  5. Step 5: Solve for x
    x = 11,571,766.61/4,745.64
  6. Step 6: Final answer
    x = 2,438.40

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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.