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Finding the Fourth Proportional to 3,465.66, 4,782.62 and 1,893.78

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Solution

The fourth proportional to 3,465.66, 4,782.62 and 1,893.78 is: 2,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.66 : 4,782.62 = 1,893.78 : x
  2. Step 2: Convert to fraction form
    3,465.66/4,782.62 = 1,893.78/x
  3. Step 3: Cross multiply
    3,465.66x = 4,782.62 × 1,893.78
  4. Step 4: Simplify right side
    3,465.66x = 9,057,230.10
  5. Step 5: Solve for x
    x = 9,057,230.10/3,465.66
  6. Step 6: Final answer
    x = 2,613.42

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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.