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Finding the Fourth Proportional to 3,695.10, 5,099.67 and 3,500.70

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Solution

The fourth proportional to 3,695.10, 5,099.67 and 3,500.70 is: 4,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.10 : 5,099.67 = 3,500.70 : x
  2. Step 2: Convert to fraction form
    3,695.10/5,099.67 = 3,500.70/x
  3. Step 3: Cross multiply
    3,695.10x = 5,099.67 × 3,500.70
  4. Step 4: Simplify right side
    3,695.10x = 17,852,414.77
  5. Step 5: Solve for x
    x = 17,852,414.77/3,695.10
  6. Step 6: Final answer
    x = 4,831.38

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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.