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Finding the Fourth Proportional to 3,465.46, 4,782.41 and 1,893.66

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Solution

The fourth proportional to 3,465.46, 4,782.41 and 1,893.66 is: 2,613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.46 : 4,782.41 = 1,893.66 : x
  2. Step 2: Convert to fraction form
    3,465.46/4,782.41 = 1,893.66/x
  3. Step 3: Cross multiply
    3,465.46x = 4,782.41 × 1,893.66
  4. Step 4: Simplify right side
    3,465.46x = 9,056,258.52
  5. Step 5: Solve for x
    x = 9,056,258.52/3,465.46
  6. Step 6: Final answer
    x = 2,613.29

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