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Finding the Fourth Proportional to 5,222.36, 7,829.14 and 3,574.84

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Solution

The fourth proportional to 5,222.36, 7,829.14 and 3,574.84 is: 5,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.36 : 7,829.14 = 3,574.84 : x
  2. Step 2: Convert to fraction form
    5,222.36/7,829.14 = 3,574.84/x
  3. Step 3: Cross multiply
    5,222.36x = 7,829.14 × 3,574.84
  4. Step 4: Simplify right side
    5,222.36x = 27,987,922.84
  5. Step 5: Solve for x
    x = 27,987,922.84/5,222.36
  6. Step 6: Final answer
    x = 5,359.25

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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.