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Finding the Fourth Proportional to 3,698.64, 5,099.46 and 2,370.12

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Solution

The fourth proportional to 3,698.64, 5,099.46 and 2,370.12 is: 3,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.64 : 5,099.46 = 2,370.12 : x
  2. Step 2: Convert to fraction form
    3,698.64/5,099.46 = 2,370.12/x
  3. Step 3: Cross multiply
    3,698.64x = 5,099.46 × 2,370.12
  4. Step 4: Simplify right side
    3,698.64x = 12,086,332.14
  5. Step 5: Solve for x
    x = 12,086,332.14/3,698.64
  6. Step 6: Final answer
    x = 3,267.78

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