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Finding the Fourth Proportional to 4,745.61, 7,113 and 2,967.48

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Solution

The fourth proportional to 4,745.61, 7,113 and 2,967.48 is: 4,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.61 : 7,113 = 2,967.48 : x
  2. Step 2: Convert to fraction form
    4,745.61/7,113 = 2,967.48/x
  3. Step 3: Cross multiply
    4,745.61x = 7,113 × 2,967.48
  4. Step 4: Simplify right side
    4,745.61x = 21,107,685.24
  5. Step 5: Solve for x
    x = 21,107,685.24/4,745.61
  6. Step 6: Final answer
    x = 4,447.83

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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.