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Finding the Fourth Proportional to 4,188.69, 5,777.82 and 3,011.34

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Solution

The fourth proportional to 4,188.69, 5,777.82 and 3,011.34 is: 4,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.69 : 5,777.82 = 3,011.34 : x
  2. Step 2: Convert to fraction form
    4,188.69/5,777.82 = 3,011.34/x
  3. Step 3: Cross multiply
    4,188.69x = 5,777.82 × 3,011.34
  4. Step 4: Simplify right side
    4,188.69x = 17,398,980.48
  5. Step 5: Solve for x
    x = 17,398,980.48/4,188.69
  6. Step 6: Final answer
    x = 4,153.80

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