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Finding the Fourth Proportional to 3,411.14, 5,116.68 and 946.31

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Solution

The fourth proportional to 3,411.14, 5,116.68 and 946.31 is: 1,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.14 : 5,116.68 = 946.31 : x
  2. Step 2: Convert to fraction form
    3,411.14/5,116.68 = 946.31/x
  3. Step 3: Cross multiply
    3,411.14x = 5,116.68 × 946.31
  4. Step 4: Simplify right side
    3,411.14x = 4,841,939.87
  5. Step 5: Solve for x
    x = 4,841,939.87/3,411.14
  6. Step 6: Final answer
    x = 1,419.45

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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.