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Finding the Fourth Proportional to 5,948.56, 8,208.24 and 3,295.84

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Solution

The fourth proportional to 5,948.56, 8,208.24 and 3,295.84 is: 4,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.56 : 8,208.24 = 3,295.84 : x
  2. Step 2: Convert to fraction form
    5,948.56/8,208.24 = 3,295.84/x
  3. Step 3: Cross multiply
    5,948.56x = 8,208.24 × 3,295.84
  4. Step 4: Simplify right side
    5,948.56x = 27,053,045.72
  5. Step 5: Solve for x
    x = 27,053,045.72/5,948.56
  6. Step 6: Final answer
    x = 4,547.83

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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.