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Finding the Fourth Proportional to 5,845.60, 8,768.40 and 3,656.80

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Solution

The fourth proportional to 5,845.60, 8,768.40 and 3,656.80 is: 5,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.60 : 8,768.40 = 3,656.80 : x
  2. Step 2: Convert to fraction form
    5,845.60/8,768.40 = 3,656.80/x
  3. Step 3: Cross multiply
    5,845.60x = 8,768.40 × 3,656.80
  4. Step 4: Simplify right side
    5,845.60x = 32,064,285.12
  5. Step 5: Solve for x
    x = 32,064,285.12/5,845.60
  6. Step 6: Final answer
    x = 5,485.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.