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Finding the Fourth Proportional to 3,465.82, 4,782.74 and 1,893.81

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Solution

The fourth proportional to 3,465.82, 4,782.74 and 1,893.81 is: 2,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.82 : 4,782.74 = 1,893.81 : x
  2. Step 2: Convert to fraction form
    3,465.82/4,782.74 = 1,893.81/x
  3. Step 3: Cross multiply
    3,465.82x = 4,782.74 × 1,893.81
  4. Step 4: Simplify right side
    3,465.82x = 9,057,600.84
  5. Step 5: Solve for x
    x = 9,057,600.84/3,465.82
  6. Step 6: Final answer
    x = 2,613.41

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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.