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Finding the Fourth Proportional to 3,657.51, 5,486.57 and 1,192.28

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Solution

The fourth proportional to 3,657.51, 5,486.57 and 1,192.28 is: 1,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.51 : 5,486.57 = 1,192.28 : x
  2. Step 2: Convert to fraction form
    3,657.51/5,486.57 = 1,192.28/x
  3. Step 3: Cross multiply
    3,657.51x = 5,486.57 × 1,192.28
  4. Step 4: Simplify right side
    3,657.51x = 6,541,494.29
  5. Step 5: Solve for x
    x = 6,541,494.29/3,657.51
  6. Step 6: Final answer
    x = 1,788.51

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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.