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Finding the Fourth Proportional to 3,468.80, 5,192.40 and 2,003.60

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Solution

The fourth proportional to 3,468.80, 5,192.40 and 2,003.60 is: 2,999.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.80 : 5,192.40 = 2,003.60 : x
  2. Step 2: Convert to fraction form
    3,468.80/5,192.40 = 2,003.60/x
  3. Step 3: Cross multiply
    3,468.80x = 5,192.40 × 2,003.60
  4. Step 4: Simplify right side
    3,468.80x = 10,403,492.64
  5. Step 5: Solve for x
    x = 10,403,492.64/3,468.80
  6. Step 6: Final answer
    x = 2,999.16

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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.