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Finding the Fourth Proportional to 3,516.52, 4,853.28 and 2,119

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Solution

The fourth proportional to 3,516.52, 4,853.28 and 2,119 is: 2,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.52 : 4,853.28 = 2,119 : x
  2. Step 2: Convert to fraction form
    3,516.52/4,853.28 = 2,119/x
  3. Step 3: Cross multiply
    3,516.52x = 4,853.28 × 2,119
  4. Step 4: Simplify right side
    3,516.52x = 10,284,100.32
  5. Step 5: Solve for x
    x = 10,284,100.32/3,516.52
  6. Step 6: Final answer
    x = 2,924.51

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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.