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Finding the Fourth Proportional to 4,845.44, 6,686.64 and 2,829.32

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Solution

The fourth proportional to 4,845.44, 6,686.64 and 2,829.32 is: 3,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845.44 : 6,686.64 = 2,829.32 : x
  2. Step 2: Convert to fraction form
    4,845.44/6,686.64 = 2,829.32/x
  3. Step 3: Cross multiply
    4,845.44x = 6,686.64 × 2,829.32
  4. Step 4: Simplify right side
    4,845.44x = 18,918,644.28
  5. Step 5: Solve for x
    x = 18,918,644.28/4,845.44
  6. Step 6: Final answer
    x = 3,904.42

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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.