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Finding the Fourth Proportional to 6,902.22, 10,346.10 and 3,005.58

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Solution

The fourth proportional to 6,902.22, 10,346.10 and 3,005.58 is: 4,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.22 : 10,346.10 = 3,005.58 : x
  2. Step 2: Convert to fraction form
    6,902.22/10,346.10 = 3,005.58/x
  3. Step 3: Cross multiply
    6,902.22x = 10,346.10 × 3,005.58
  4. Step 4: Simplify right side
    6,902.22x = 31,096,031.24
  5. Step 5: Solve for x
    x = 31,096,031.24/6,902.22
  6. Step 6: Final answer
    x = 4,505.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.