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Finding the Fourth Proportional to 4,942.49, 7,407.05 and 4,627.19

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Solution

The fourth proportional to 4,942.49, 7,407.05 and 4,627.19 is: 6,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.49 : 7,407.05 = 4,627.19 : x
  2. Step 2: Convert to fraction form
    4,942.49/7,407.05 = 4,627.19/x
  3. Step 3: Cross multiply
    4,942.49x = 7,407.05 × 4,627.19
  4. Step 4: Simplify right side
    4,942.49x = 34,273,767.52
  5. Step 5: Solve for x
    x = 34,273,767.52/4,942.49
  6. Step 6: Final answer
    x = 6,934.52

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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.