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Finding the Fourth Proportional to 4,906.47, 7,362.81 and 4,445.19

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Solution

The fourth proportional to 4,906.47, 7,362.81 and 4,445.19 is: 6,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.47 : 7,362.81 = 4,445.19 : x
  2. Step 2: Convert to fraction form
    4,906.47/7,362.81 = 4,445.19/x
  3. Step 3: Cross multiply
    4,906.47x = 7,362.81 × 4,445.19
  4. Step 4: Simplify right side
    4,906.47x = 32,729,089.38
  5. Step 5: Solve for x
    x = 32,729,089.38/4,906.47
  6. Step 6: Final answer
    x = 6,670.60

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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.