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Finding the Fourth Proportional to 6,199.97, 8,556.16 and 3,405.47

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Solution

The fourth proportional to 6,199.97, 8,556.16 and 3,405.47 is: 4,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.97 : 8,556.16 = 3,405.47 : x
  2. Step 2: Convert to fraction form
    6,199.97/8,556.16 = 3,405.47/x
  3. Step 3: Cross multiply
    6,199.97x = 8,556.16 × 3,405.47
  4. Step 4: Simplify right side
    6,199.97x = 29,137,746.20
  5. Step 5: Solve for x
    x = 29,137,746.20/6,199.97
  6. Step 6: Final answer
    x = 4,699.66

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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.