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Finding the Fourth Proportional to 5,947.74, 8,207.76 and 3,295.14

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Solution

The fourth proportional to 5,947.74, 8,207.76 and 3,295.14 is: 4,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.74 : 8,207.76 = 3,295.14 : x
  2. Step 2: Convert to fraction form
    5,947.74/8,207.76 = 3,295.14/x
  3. Step 3: Cross multiply
    5,947.74x = 8,207.76 × 3,295.14
  4. Step 4: Simplify right side
    5,947.74x = 27,045,718.29
  5. Step 5: Solve for x
    x = 27,045,718.29/5,947.74
  6. Step 6: Final answer
    x = 4,547.23

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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.