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Finding the Fourth Proportional to 3,411.25, 5,116.88 and 946.09

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Solution

The fourth proportional to 3,411.25, 5,116.88 and 946.09 is: 1,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.25 : 5,116.88 = 946.09 : x
  2. Step 2: Convert to fraction form
    3,411.25/5,116.88 = 946.09/x
  3. Step 3: Cross multiply
    3,411.25x = 5,116.88 × 946.09
  4. Step 4: Simplify right side
    3,411.25x = 4,841,029.00
  5. Step 5: Solve for x
    x = 4,841,029.00/3,411.25
  6. Step 6: Final answer
    x = 1,419.14

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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.