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Finding the Fourth Proportional to 6,365.90, 8,781.94 and 4,128.50

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Solution

The fourth proportional to 6,365.90, 8,781.94 and 4,128.50 is: 5,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.90 : 8,781.94 = 4,128.50 : x
  2. Step 2: Convert to fraction form
    6,365.90/8,781.94 = 4,128.50/x
  3. Step 3: Cross multiply
    6,365.90x = 8,781.94 × 4,128.50
  4. Step 4: Simplify right side
    6,365.90x = 36,256,239.29
  5. Step 5: Solve for x
    x = 36,256,239.29/6,365.90
  6. Step 6: Final answer
    x = 5,695.38

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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.