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Finding the Fourth Proportional to 4,969.13, 6,858.93 and 3,200.73

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Solution

The fourth proportional to 4,969.13, 6,858.93 and 3,200.73 is: 4,417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.13 : 6,858.93 = 3,200.73 : x
  2. Step 2: Convert to fraction form
    4,969.13/6,858.93 = 3,200.73/x
  3. Step 3: Cross multiply
    4,969.13x = 6,858.93 × 3,200.73
  4. Step 4: Simplify right side
    4,969.13x = 21,953,583.02
  5. Step 5: Solve for x
    x = 21,953,583.02/4,969.13
  6. Step 6: Final answer
    x = 4,417.99

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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.