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Finding the Fourth Proportional to 3,657.60, 5,485.80 and 1,192.17

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Solution

The fourth proportional to 3,657.60, 5,485.80 and 1,192.17 is: 1,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.60 : 5,485.80 = 1,192.17 : x
  2. Step 2: Convert to fraction form
    3,657.60/5,485.80 = 1,192.17/x
  3. Step 3: Cross multiply
    3,657.60x = 5,485.80 × 1,192.17
  4. Step 4: Simplify right side
    3,657.60x = 6,540,006.19
  5. Step 5: Solve for x
    x = 6,540,006.19/3,657.60
  6. Step 6: Final answer
    x = 1,788.06

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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.