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Finding the Fourth Proportional to 4,699.57, 6,485.01 and 2,682.97

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Solution

The fourth proportional to 4,699.57, 6,485.01 and 2,682.97 is: 3,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.57 : 6,485.01 = 2,682.97 : x
  2. Step 2: Convert to fraction form
    4,699.57/6,485.01 = 2,682.97/x
  3. Step 3: Cross multiply
    4,699.57x = 6,485.01 × 2,682.97
  4. Step 4: Simplify right side
    4,699.57x = 17,399,112.58
  5. Step 5: Solve for x
    x = 17,399,112.58/4,699.57
  6. Step 6: Final answer
    x = 3,702.28

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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.