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Finding the Fourth Proportional to 5,474.02, 8,210.76 and 2,011

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Solution

The fourth proportional to 5,474.02, 8,210.76 and 2,011 is: 3,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.02 : 8,210.76 = 2,011 : x
  2. Step 2: Convert to fraction form
    5,474.02/8,210.76 = 2,011/x
  3. Step 3: Cross multiply
    5,474.02x = 8,210.76 × 2,011
  4. Step 4: Simplify right side
    5,474.02x = 16,511,838.36
  5. Step 5: Solve for x
    x = 16,511,838.36/5,474.02
  6. Step 6: Final answer
    x = 3,016.40

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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.