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Finding the Fourth Proportional to 5,471.25, 8,203.23 and 2,547.96

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Solution

The fourth proportional to 5,471.25, 8,203.23 and 2,547.96 is: 3,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.25 : 8,203.23 = 2,547.96 : x
  2. Step 2: Convert to fraction form
    5,471.25/8,203.23 = 2,547.96/x
  3. Step 3: Cross multiply
    5,471.25x = 8,203.23 × 2,547.96
  4. Step 4: Simplify right side
    5,471.25x = 20,901,501.91
  5. Step 5: Solve for x
    x = 20,901,501.91/5,471.25
  6. Step 6: Final answer
    x = 3,820.24

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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.