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Finding the Fourth Proportional to 3,829.02, 5,284 and 2,150.48

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Solution

The fourth proportional to 3,829.02, 5,284 and 2,150.48 is: 2,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.02 : 5,284 = 2,150.48 : x
  2. Step 2: Convert to fraction form
    3,829.02/5,284 = 2,150.48/x
  3. Step 3: Cross multiply
    3,829.02x = 5,284 × 2,150.48
  4. Step 4: Simplify right side
    3,829.02x = 11,363,136.32
  5. Step 5: Solve for x
    x = 11,363,136.32/3,829.02
  6. Step 6: Final answer
    x = 2,967.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.