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Finding the Fourth Proportional to 4,969.96, 6,858.88 and 3,288.47

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Solution

The fourth proportional to 4,969.96, 6,858.88 and 3,288.47 is: 4,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.96 : 6,858.88 = 3,288.47 : x
  2. Step 2: Convert to fraction form
    4,969.96/6,858.88 = 3,288.47/x
  3. Step 3: Cross multiply
    4,969.96x = 6,858.88 × 3,288.47
  4. Step 4: Simplify right side
    4,969.96x = 22,555,178.60
  5. Step 5: Solve for x
    x = 22,555,178.60/4,969.96
  6. Step 6: Final answer
    x = 4,538.30

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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.