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Finding the Fourth Proportional to 5,662.22, 8,493.30 and 1,713.47

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Solution

The fourth proportional to 5,662.22, 8,493.30 and 1,713.47 is: 2,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.22 : 8,493.30 = 1,713.47 : x
  2. Step 2: Convert to fraction form
    5,662.22/8,493.30 = 1,713.47/x
  3. Step 3: Cross multiply
    5,662.22x = 8,493.30 × 1,713.47
  4. Step 4: Simplify right side
    5,662.22x = 14,552,972.28
  5. Step 5: Solve for x
    x = 14,552,972.28/5,662.22
  6. Step 6: Final answer
    x = 2,570.19

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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.