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Finding the Fourth Proportional to 3,106.57, 4,659.71 and 1,158.63

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Solution

The fourth proportional to 3,106.57, 4,659.71 and 1,158.63 is: 1,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.57 : 4,659.71 = 1,158.63 : x
  2. Step 2: Convert to fraction form
    3,106.57/4,659.71 = 1,158.63/x
  3. Step 3: Cross multiply
    3,106.57x = 4,659.71 × 1,158.63
  4. Step 4: Simplify right side
    3,106.57x = 5,398,879.80
  5. Step 5: Solve for x
    x = 5,398,879.80/3,106.57
  6. Step 6: Final answer
    x = 1,737.89

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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.