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Finding the Fourth Proportional to 3,695, 5,099.10 and 2,368.70

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Solution

The fourth proportional to 3,695, 5,099.10 and 2,368.70 is: 3,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695 : 5,099.10 = 2,368.70 : x
  2. Step 2: Convert to fraction form
    3,695/5,099.10 = 2,368.70/x
  3. Step 3: Cross multiply
    3,695x = 5,099.10 × 2,368.70
  4. Step 4: Simplify right side
    3,695x = 12,078,226.33
  5. Step 5: Solve for x
    x = 12,078,226.33/3,695
  6. Step 6: Final answer
    x = 3,268.80

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Why These Related Problems?

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