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Finding the Fourth Proportional to 5,662.50, 8,489.64 and 2,853.06

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Solution

The fourth proportional to 5,662.50, 8,489.64 and 2,853.06 is: 4,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.50 : 8,489.64 = 2,853.06 : x
  2. Step 2: Convert to fraction form
    5,662.50/8,489.64 = 2,853.06/x
  3. Step 3: Cross multiply
    5,662.50x = 8,489.64 × 2,853.06
  4. Step 4: Simplify right side
    5,662.50x = 24,221,438.03
  5. Step 5: Solve for x
    x = 24,221,438.03/5,662.50
  6. Step 6: Final answer
    x = 4,277.52

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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.