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Finding the Fourth Proportional to 3,536.68, 5,298.94 and 1,894

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Solution

The fourth proportional to 3,536.68, 5,298.94 and 1,894 is: 2,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.68 : 5,298.94 = 1,894 : x
  2. Step 2: Convert to fraction form
    3,536.68/5,298.94 = 1,894/x
  3. Step 3: Cross multiply
    3,536.68x = 5,298.94 × 1,894
  4. Step 4: Simplify right side
    3,536.68x = 10,036,192.36
  5. Step 5: Solve for x
    x = 10,036,192.36/3,536.68
  6. Step 6: Final answer
    x = 2,837.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.