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Finding the Fourth Proportional to 3,531.97, 5,292.84 and 1,951

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Solution

The fourth proportional to 3,531.97, 5,292.84 and 1,951 is: 2,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.97 : 5,292.84 = 1,951 : x
  2. Step 2: Convert to fraction form
    3,531.97/5,292.84 = 1,951/x
  3. Step 3: Cross multiply
    3,531.97x = 5,292.84 × 1,951
  4. Step 4: Simplify right side
    3,531.97x = 10,326,330.84
  5. Step 5: Solve for x
    x = 10,326,330.84/3,531.97
  6. Step 6: Final answer
    x = 2,923.67

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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.