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Finding the Fourth Proportional to 3,574.62, 4,930.27 and 3,131.75

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Solution

The fourth proportional to 3,574.62, 4,930.27 and 3,131.75 is: 4,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.62 : 4,930.27 = 3,131.75 : x
  2. Step 2: Convert to fraction form
    3,574.62/4,930.27 = 3,131.75/x
  3. Step 3: Cross multiply
    3,574.62x = 4,930.27 × 3,131.75
  4. Step 4: Simplify right side
    3,574.62x = 15,440,373.07
  5. Step 5: Solve for x
    x = 15,440,373.07/3,574.62
  6. Step 6: Final answer
    x = 4,319.44

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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.