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Finding the Fourth Proportional to 5,969.60, 8,236.80 and 3,485.60

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Solution

The fourth proportional to 5,969.60, 8,236.80 and 3,485.60 is: 4,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.60 : 8,236.80 = 3,485.60 : x
  2. Step 2: Convert to fraction form
    5,969.60/8,236.80 = 3,485.60/x
  3. Step 3: Cross multiply
    5,969.60x = 8,236.80 × 3,485.60
  4. Step 4: Simplify right side
    5,969.60x = 28,710,190.08
  5. Step 5: Solve for x
    x = 28,710,190.08/5,969.60
  6. Step 6: Final answer
    x = 4,809.40

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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.