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Finding the Fourth Proportional to 5,711.60, 8,602.09 and 5,027.29

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Solution

The fourth proportional to 5,711.60, 8,602.09 and 5,027.29 is: 7,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.60 : 8,602.09 = 5,027.29 : x
  2. Step 2: Convert to fraction form
    5,711.60/8,602.09 = 5,027.29/x
  3. Step 3: Cross multiply
    5,711.60x = 8,602.09 × 5,027.29
  4. Step 4: Simplify right side
    5,711.60x = 43,245,166.96
  5. Step 5: Solve for x
    x = 43,245,166.96/5,711.60
  6. Step 6: Final answer
    x = 7,571.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.