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Finding the Fourth Proportional to 6,106.02, 8,425.74 and 3,453.42

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Solution

The fourth proportional to 6,106.02, 8,425.74 and 3,453.42 is: 4,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.02 : 8,425.74 = 3,453.42 : x
  2. Step 2: Convert to fraction form
    6,106.02/8,425.74 = 3,453.42/x
  3. Step 3: Cross multiply
    6,106.02x = 8,425.74 × 3,453.42
  4. Step 4: Simplify right side
    6,106.02x = 29,097,619.03
  5. Step 5: Solve for x
    x = 29,097,619.03/6,106.02
  6. Step 6: Final answer
    x = 4,765.40

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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.