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Finding the Fourth Proportional to 4,635.42, 6,945.93 and 2,902.62

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Solution

The fourth proportional to 4,635.42, 6,945.93 and 2,902.62 is: 4,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.42 : 6,945.93 = 2,902.62 : x
  2. Step 2: Convert to fraction form
    4,635.42/6,945.93 = 2,902.62/x
  3. Step 3: Cross multiply
    4,635.42x = 6,945.93 × 2,902.62
  4. Step 4: Simplify right side
    4,635.42x = 20,161,395.34
  5. Step 5: Solve for x
    x = 20,161,395.34/4,635.42
  6. Step 6: Final answer
    x = 4,349.42

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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.