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Finding the Fourth Proportional to 3,526.14, 4,865.88 and 1,954.14

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Solution

The fourth proportional to 3,526.14, 4,865.88 and 1,954.14 is: 2,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.14 : 4,865.88 = 1,954.14 : x
  2. Step 2: Convert to fraction form
    3,526.14/4,865.88 = 1,954.14/x
  3. Step 3: Cross multiply
    3,526.14x = 4,865.88 × 1,954.14
  4. Step 4: Simplify right side
    3,526.14x = 9,508,610.74
  5. Step 5: Solve for x
    x = 9,508,610.74/3,526.14
  6. Step 6: Final answer
    x = 2,696.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.