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Finding the Fourth Proportional to 4,099, 6,151.02 and 2,152.60

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Solution

The fourth proportional to 4,099, 6,151.02 and 2,152.60 is: 3,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099 : 6,151.02 = 2,152.60 : x
  2. Step 2: Convert to fraction form
    4,099/6,151.02 = 2,152.60/x
  3. Step 3: Cross multiply
    4,099x = 6,151.02 × 2,152.60
  4. Step 4: Simplify right side
    4,099x = 13,240,685.65
  5. Step 5: Solve for x
    x = 13,240,685.65/4,099
  6. Step 6: Final answer
    x = 3,230.22

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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.