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Finding the Fourth Proportional to 3,138.44, 4,707.63 and 947.09

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Solution

The fourth proportional to 3,138.44, 4,707.63 and 947.09 is: 1,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.44 : 4,707.63 = 947.09 : x
  2. Step 2: Convert to fraction form
    3,138.44/4,707.63 = 947.09/x
  3. Step 3: Cross multiply
    3,138.44x = 4,707.63 × 947.09
  4. Step 4: Simplify right side
    3,138.44x = 4,458,525.76
  5. Step 5: Solve for x
    x = 4,458,525.76/3,138.44
  6. Step 6: Final answer
    x = 1,420.62

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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.