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Finding the Fourth Proportional to 4,941.38, 7,412.07 and 1,478.63

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Solution

The fourth proportional to 4,941.38, 7,412.07 and 1,478.63 is: 2,217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.38 : 7,412.07 = 1,478.63 : x
  2. Step 2: Convert to fraction form
    4,941.38/7,412.07 = 1,478.63/x
  3. Step 3: Cross multiply
    4,941.38x = 7,412.07 × 1,478.63
  4. Step 4: Simplify right side
    4,941.38x = 10,959,672.00
  5. Step 5: Solve for x
    x = 10,959,672.00/4,941.38
  6. Step 6: Final answer
    x = 2,217.94

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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.