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Finding the Fourth Proportional to 5,571.70, 7,688.62 and 3,053.31

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Solution

The fourth proportional to 5,571.70, 7,688.62 and 3,053.31 is: 4,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,571.70 : 7,688.62 = 3,053.31 : x
  2. Step 2: Convert to fraction form
    5,571.70/7,688.62 = 3,053.31/x
  3. Step 3: Cross multiply
    5,571.70x = 7,688.62 × 3,053.31
  4. Step 4: Simplify right side
    5,571.70x = 23,475,740.33
  5. Step 5: Solve for x
    x = 23,475,740.33/5,571.70
  6. Step 6: Final answer
    x = 4,213.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.