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Finding the Fourth Proportional to 5,476.96, 8,191.04 and 4,864.64

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Solution

The fourth proportional to 5,476.96, 8,191.04 and 4,864.64 is: 7,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.96 : 8,191.04 = 4,864.64 : x
  2. Step 2: Convert to fraction form
    5,476.96/8,191.04 = 4,864.64/x
  3. Step 3: Cross multiply
    5,476.96x = 8,191.04 × 4,864.64
  4. Step 4: Simplify right side
    5,476.96x = 39,846,460.83
  5. Step 5: Solve for x
    x = 39,846,460.83/5,476.96
  6. Step 6: Final answer
    x = 7,275.29

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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.