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Finding the Fourth Proportional to 4,935.71, 7,403.38 and 1,237.97

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Solution

The fourth proportional to 4,935.71, 7,403.38 and 1,237.97 is: 1,856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.71 : 7,403.38 = 1,237.97 : x
  2. Step 2: Convert to fraction form
    4,935.71/7,403.38 = 1,237.97/x
  3. Step 3: Cross multiply
    4,935.71x = 7,403.38 × 1,237.97
  4. Step 4: Simplify right side
    4,935.71x = 9,165,162.34
  5. Step 5: Solve for x
    x = 9,165,162.34/4,935.71
  6. Step 6: Final answer
    x = 1,856.91

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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.