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Finding the Fourth Proportional to 4,188.51, 5,784.75 and 3,255.66

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Solution

The fourth proportional to 4,188.51, 5,784.75 and 3,255.66 is: 4,496.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.51 : 5,784.75 = 3,255.66 : x
  2. Step 2: Convert to fraction form
    4,188.51/5,784.75 = 3,255.66/x
  3. Step 3: Cross multiply
    4,188.51x = 5,784.75 × 3,255.66
  4. Step 4: Simplify right side
    4,188.51x = 18,833,179.19
  5. Step 5: Solve for x
    x = 18,833,179.19/4,188.51
  6. Step 6: Final answer
    x = 4,496.39

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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.