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Finding the Fourth Proportional to 3,138.17, 4,708.01 and 946.76

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Solution

The fourth proportional to 3,138.17, 4,708.01 and 946.76 is: 1,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.17 : 4,708.01 = 946.76 : x
  2. Step 2: Convert to fraction form
    3,138.17/4,708.01 = 946.76/x
  3. Step 3: Cross multiply
    3,138.17x = 4,708.01 × 946.76
  4. Step 4: Simplify right side
    3,138.17x = 4,457,355.53
  5. Step 5: Solve for x
    x = 4,457,355.53/3,138.17
  6. Step 6: Final answer
    x = 1,420.37

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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.