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Finding the Fourth Proportional to 4,544.70, 6,807.54 and 2,081.64

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Solution

The fourth proportional to 4,544.70, 6,807.54 and 2,081.64 is: 3,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.70 : 6,807.54 = 2,081.64 : x
  2. Step 2: Convert to fraction form
    4,544.70/6,807.54 = 2,081.64/x
  3. Step 3: Cross multiply
    4,544.70x = 6,807.54 × 2,081.64
  4. Step 4: Simplify right side
    4,544.70x = 14,170,847.57
  5. Step 5: Solve for x
    x = 14,170,847.57/4,544.70
  6. Step 6: Final answer
    x = 3,118.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.