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Finding the Fourth Proportional to 6,058.64, 8,361.40 and 3,406.22

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Solution

The fourth proportional to 6,058.64, 8,361.40 and 3,406.22 is: 4,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.64 : 8,361.40 = 3,406.22 : x
  2. Step 2: Convert to fraction form
    6,058.64/8,361.40 = 3,406.22/x
  3. Step 3: Cross multiply
    6,058.64x = 8,361.40 × 3,406.22
  4. Step 4: Simplify right side
    6,058.64x = 28,480,767.91
  5. Step 5: Solve for x
    x = 28,480,767.91/6,058.64
  6. Step 6: Final answer
    x = 4,700.85

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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.