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Finding the Fourth Proportional to 3,538.51, 5,310.06 and 1,874.17

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Solution

The fourth proportional to 3,538.51, 5,310.06 and 1,874.17 is: 2,812.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.51 : 5,310.06 = 1,874.17 : x
  2. Step 2: Convert to fraction form
    3,538.51/5,310.06 = 1,874.17/x
  3. Step 3: Cross multiply
    3,538.51x = 5,310.06 × 1,874.17
  4. Step 4: Simplify right side
    3,538.51x = 9,951,955.15
  5. Step 5: Solve for x
    x = 9,951,955.15/3,538.51
  6. Step 6: Final answer
    x = 2,812.47

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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.