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Finding the Fourth Proportional to 3,411.29, 5,116.77 and 946.05

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Solution

The fourth proportional to 3,411.29, 5,116.77 and 946.05 is: 1,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.29 : 5,116.77 = 946.05 : x
  2. Step 2: Convert to fraction form
    3,411.29/5,116.77 = 946.05/x
  3. Step 3: Cross multiply
    3,411.29x = 5,116.77 × 946.05
  4. Step 4: Simplify right side
    3,411.29x = 4,840,720.26
  5. Step 5: Solve for x
    x = 4,840,720.26/3,411.29
  6. Step 6: Final answer
    x = 1,419.03

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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.