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Finding the Fourth Proportional to 3,704.07, 5,106.32 and 3,066.40

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Solution

The fourth proportional to 3,704.07, 5,106.32 and 3,066.40 is: 4,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.07 : 5,106.32 = 3,066.40 : x
  2. Step 2: Convert to fraction form
    3,704.07/5,106.32 = 3,066.40/x
  3. Step 3: Cross multiply
    3,704.07x = 5,106.32 × 3,066.40
  4. Step 4: Simplify right side
    3,704.07x = 15,658,022.20
  5. Step 5: Solve for x
    x = 15,658,022.20/3,704.07
  6. Step 6: Final answer
    x = 4,227.24

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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.