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Finding the Fourth Proportional to 4,906.48, 7,359.71 and 1,208.77

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Solution

The fourth proportional to 4,906.48, 7,359.71 and 1,208.77 is: 1,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.48 : 7,359.71 = 1,208.77 : x
  2. Step 2: Convert to fraction form
    4,906.48/7,359.71 = 1,208.77/x
  3. Step 3: Cross multiply
    4,906.48x = 7,359.71 × 1,208.77
  4. Step 4: Simplify right side
    4,906.48x = 8,896,196.66
  5. Step 5: Solve for x
    x = 8,896,196.66/4,906.48
  6. Step 6: Final answer
    x = 1,813.15

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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.