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Finding the Fourth Proportional to 5,222.44, 7,792.77 and 4,670

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Solution

The fourth proportional to 5,222.44, 7,792.77 and 4,670 is: 6,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.44 : 7,792.77 = 4,670 : x
  2. Step 2: Convert to fraction form
    5,222.44/7,792.77 = 4,670/x
  3. Step 3: Cross multiply
    5,222.44x = 7,792.77 × 4,670
  4. Step 4: Simplify right side
    5,222.44x = 36,392,235.90
  5. Step 5: Solve for x
    x = 36,392,235.90/5,222.44
  6. Step 6: Final answer
    x = 6,968.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.