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Finding the Fourth Proportional to 3,657.49, 5,485.19 and 1,192.53

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Solution

The fourth proportional to 3,657.49, 5,485.19 and 1,192.53 is: 1,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.49 : 5,485.19 = 1,192.53 : x
  2. Step 2: Convert to fraction form
    3,657.49/5,485.19 = 1,192.53/x
  3. Step 3: Cross multiply
    3,657.49x = 5,485.19 × 1,192.53
  4. Step 4: Simplify right side
    3,657.49x = 6,541,253.63
  5. Step 5: Solve for x
    x = 6,541,253.63/3,657.49
  6. Step 6: Final answer
    x = 1,788.45

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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.