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Finding the Fourth Proportional to 5,948.48, 8,208.44 and 3,295.68

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Solution

The fourth proportional to 5,948.48, 8,208.44 and 3,295.68 is: 4,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.48 : 8,208.44 = 3,295.68 : x
  2. Step 2: Convert to fraction form
    5,948.48/8,208.44 = 3,295.68/x
  3. Step 3: Cross multiply
    5,948.48x = 8,208.44 × 3,295.68
  4. Step 4: Simplify right side
    5,948.48x = 27,052,391.54
  5. Step 5: Solve for x
    x = 27,052,391.54/5,948.48
  6. Step 6: Final answer
    x = 4,547.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.