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Finding the Fourth Proportional to 3,698.64, 5,100.66 and 2,372.76

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Solution

The fourth proportional to 3,698.64, 5,100.66 and 2,372.76 is: 3,272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.64 : 5,100.66 = 2,372.76 : x
  2. Step 2: Convert to fraction form
    3,698.64/5,100.66 = 2,372.76/x
  3. Step 3: Cross multiply
    3,698.64x = 5,100.66 × 2,372.76
  4. Step 4: Simplify right side
    3,698.64x = 12,102,642.02
  5. Step 5: Solve for x
    x = 12,102,642.02/3,698.64
  6. Step 6: Final answer
    x = 3,272.19

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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.