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Finding the Fourth Proportional to 3,138.07, 4,706.73 and 946.81

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Solution

The fourth proportional to 3,138.07, 4,706.73 and 946.81 is: 1,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.07 : 4,706.73 = 946.81 : x
  2. Step 2: Convert to fraction form
    3,138.07/4,706.73 = 946.81/x
  3. Step 3: Cross multiply
    3,138.07x = 4,706.73 × 946.81
  4. Step 4: Simplify right side
    3,138.07x = 4,456,379.03
  5. Step 5: Solve for x
    x = 4,456,379.03/3,138.07
  6. Step 6: Final answer
    x = 1,420.10

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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.