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Finding the Fourth Proportional to 3,138.06, 4,707.30 and 946.80

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Solution

The fourth proportional to 3,138.06, 4,707.30 and 946.80 is: 1,420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.06 : 4,707.30 = 946.80 : x
  2. Step 2: Convert to fraction form
    3,138.06/4,707.30 = 946.80/x
  3. Step 3: Cross multiply
    3,138.06x = 4,707.30 × 946.80
  4. Step 4: Simplify right side
    3,138.06x = 4,456,871.64
  5. Step 5: Solve for x
    x = 4,456,871.64/3,138.06
  6. Step 6: Final answer
    x = 1,420.26

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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.