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Finding the Fourth Proportional to 2,589.38, 3,573.35 and 1,410.42

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Solution

The fourth proportional to 2,589.38, 3,573.35 and 1,410.42 is: 1,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.38 : 3,573.35 = 1,410.42 : x
  2. Step 2: Convert to fraction form
    2,589.38/3,573.35 = 1,410.42/x
  3. Step 3: Cross multiply
    2,589.38x = 3,573.35 × 1,410.42
  4. Step 4: Simplify right side
    2,589.38x = 5,039,935.94
  5. Step 5: Solve for x
    x = 5,039,935.94/2,589.38
  6. Step 6: Final answer
    x = 1,946.39

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Why These Related Problems?

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