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Finding the Fourth Proportional to 4,822.90, 7,222.56 and 4,355.44

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Solution

The fourth proportional to 4,822.90, 7,222.56 and 4,355.44 is: 6,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.90 : 7,222.56 = 4,355.44 : x
  2. Step 2: Convert to fraction form
    4,822.90/7,222.56 = 4,355.44/x
  3. Step 3: Cross multiply
    4,822.90x = 7,222.56 × 4,355.44
  4. Step 4: Simplify right side
    4,822.90x = 31,457,426.73
  5. Step 5: Solve for x
    x = 31,457,426.73/4,822.90
  6. Step 6: Final answer
    x = 6,522.51

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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.