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Finding the Fourth Proportional to 5,474.60, 8,210.10 and 2,011.40

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Solution

The fourth proportional to 5,474.60, 8,210.10 and 2,011.40 is: 3,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.60 : 8,210.10 = 2,011.40 : x
  2. Step 2: Convert to fraction form
    5,474.60/8,210.10 = 2,011.40/x
  3. Step 3: Cross multiply
    5,474.60x = 8,210.10 × 2,011.40
  4. Step 4: Simplify right side
    5,474.60x = 16,513,795.14
  5. Step 5: Solve for x
    x = 16,513,795.14/5,474.60
  6. Step 6: Final answer
    x = 3,016.44

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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.