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Finding the Fourth Proportional to 4,102.16, 6,152.60 and 2,021.60

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Solution

The fourth proportional to 4,102.16, 6,152.60 and 2,021.60 is: 3,032.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.16 : 6,152.60 = 2,021.60 : x
  2. Step 2: Convert to fraction form
    4,102.16/6,152.60 = 2,021.60/x
  3. Step 3: Cross multiply
    4,102.16x = 6,152.60 × 2,021.60
  4. Step 4: Simplify right side
    4,102.16x = 12,438,116.60
  5. Step 5: Solve for x
    x = 12,438,116.60/4,102.16
  6. Step 6: Final answer
    x = 3,032.09

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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.