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Finding the Fourth Proportional to 4,935.38, 7,403.06 and 1,472.63

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Solution

The fourth proportional to 4,935.38, 7,403.06 and 1,472.63 is: 2,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.38 : 7,403.06 = 1,472.63 : x
  2. Step 2: Convert to fraction form
    4,935.38/7,403.06 = 1,472.63/x
  3. Step 3: Cross multiply
    4,935.38x = 7,403.06 × 1,472.63
  4. Step 4: Simplify right side
    4,935.38x = 10,901,934.91
  5. Step 5: Solve for x
    x = 10,901,934.91/4,935.38
  6. Step 6: Final answer
    x = 2,208.94

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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.