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Finding the Fourth Proportional to 3,516.70, 4,852.84 and 1,944.76

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Solution

The fourth proportional to 3,516.70, 4,852.84 and 1,944.76 is: 2,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.70 : 4,852.84 = 1,944.76 : x
  2. Step 2: Convert to fraction form
    3,516.70/4,852.84 = 1,944.76/x
  3. Step 3: Cross multiply
    3,516.70x = 4,852.84 × 1,944.76
  4. Step 4: Simplify right side
    3,516.70x = 9,437,609.12
  5. Step 5: Solve for x
    x = 9,437,609.12/3,516.70
  6. Step 6: Final answer
    x = 2,683.65

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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.