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Finding the Fourth Proportional to 5,999.90, 8,261.05 and 5,101.86

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Solution

The fourth proportional to 5,999.90, 8,261.05 and 5,101.86 is: 7,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.90 : 8,261.05 = 5,101.86 : x
  2. Step 2: Convert to fraction form
    5,999.90/8,261.05 = 5,101.86/x
  3. Step 3: Cross multiply
    5,999.90x = 8,261.05 × 5,101.86
  4. Step 4: Simplify right side
    5,999.90x = 42,146,732.28
  5. Step 5: Solve for x
    x = 42,146,732.28/5,999.90
  6. Step 6: Final answer
    x = 7,024.58

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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.