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Finding the Fourth Proportional to 3,490.25, 5,236.18 and 1,543.01

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Solution

The fourth proportional to 3,490.25, 5,236.18 and 1,543.01 is: 2,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.25 : 5,236.18 = 1,543.01 : x
  2. Step 2: Convert to fraction form
    3,490.25/5,236.18 = 1,543.01/x
  3. Step 3: Cross multiply
    3,490.25x = 5,236.18 × 1,543.01
  4. Step 4: Simplify right side
    3,490.25x = 8,079,448.06
  5. Step 5: Solve for x
    x = 8,079,448.06/3,490.25
  6. Step 6: Final answer
    x = 2,314.87

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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.