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Finding the Fourth Proportional to 3,106.37, 4,659.41 and 1,158.42

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Solution

The fourth proportional to 3,106.37, 4,659.41 and 1,158.42 is: 1,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.37 : 4,659.41 = 1,158.42 : x
  2. Step 2: Convert to fraction form
    3,106.37/4,659.41 = 1,158.42/x
  3. Step 3: Cross multiply
    3,106.37x = 4,659.41 × 1,158.42
  4. Step 4: Simplify right side
    3,106.37x = 5,397,565.41
  5. Step 5: Solve for x
    x = 5,397,565.41/3,106.37
  6. Step 6: Final answer
    x = 1,737.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.