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Finding the Fourth Proportional to 3,138.40, 4,708.34 and 947.15

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Solution

The fourth proportional to 3,138.40, 4,708.34 and 947.15 is: 1,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.40 : 4,708.34 = 947.15 : x
  2. Step 2: Convert to fraction form
    3,138.40/4,708.34 = 947.15/x
  3. Step 3: Cross multiply
    3,138.40x = 4,708.34 × 947.15
  4. Step 4: Simplify right side
    3,138.40x = 4,459,504.23
  5. Step 5: Solve for x
    x = 4,459,504.23/3,138.40
  6. Step 6: Final answer
    x = 1,420.95

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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.