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Finding the Fourth Proportional to 3,465.85, 4,782.86 and 1,893.95

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Solution

The fourth proportional to 3,465.85, 4,782.86 and 1,893.95 is: 2,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.85 : 4,782.86 = 1,893.95 : x
  2. Step 2: Convert to fraction form
    3,465.85/4,782.86 = 1,893.95/x
  3. Step 3: Cross multiply
    3,465.85x = 4,782.86 × 1,893.95
  4. Step 4: Simplify right side
    3,465.85x = 9,058,514.39
  5. Step 5: Solve for x
    x = 9,058,514.39/3,465.85
  6. Step 6: Final answer
    x = 2,613.65

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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.