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Finding the Fourth Proportional to 5,220.48, 7,829.02 and 1,522.84

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Solution

The fourth proportional to 5,220.48, 7,829.02 and 1,522.84 is: 2,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.48 : 7,829.02 = 1,522.84 : x
  2. Step 2: Convert to fraction form
    5,220.48/7,829.02 = 1,522.84/x
  3. Step 3: Cross multiply
    5,220.48x = 7,829.02 × 1,522.84
  4. Step 4: Simplify right side
    5,220.48x = 11,922,344.82
  5. Step 5: Solve for x
    x = 11,922,344.82/5,220.48
  6. Step 6: Final answer
    x = 2,283.76

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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.