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Finding the Fourth Proportional to 3,873.93, 5,810.84 and 952.21

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Solution

The fourth proportional to 3,873.93, 5,810.84 and 952.21 is: 1,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.93 : 5,810.84 = 952.21 : x
  2. Step 2: Convert to fraction form
    3,873.93/5,810.84 = 952.21/x
  3. Step 3: Cross multiply
    3,873.93x = 5,810.84 × 952.21
  4. Step 4: Simplify right side
    3,873.93x = 5,533,106.14
  5. Step 5: Solve for x
    x = 5,533,106.14/3,873.93
  6. Step 6: Final answer
    x = 1,428.29

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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.