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Finding the Fourth Proportional to 4,099.01, 6,176.17 and 3,384.59

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Solution

The fourth proportional to 4,099.01, 6,176.17 and 3,384.59 is: 5,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.01 : 6,176.17 = 3,384.59 : x
  2. Step 2: Convert to fraction form
    4,099.01/6,176.17 = 3,384.59/x
  3. Step 3: Cross multiply
    4,099.01x = 6,176.17 × 3,384.59
  4. Step 4: Simplify right side
    4,099.01x = 20,903,803.22
  5. Step 5: Solve for x
    x = 20,903,803.22/4,099.01
  6. Step 6: Final answer
    x = 5,099.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.