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Finding the Fourth Proportional to 3,873.77, 5,810.61 and 952.10

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Solution

The fourth proportional to 3,873.77, 5,810.61 and 952.10 is: 1,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.77 : 5,810.61 = 952.10 : x
  2. Step 2: Convert to fraction form
    3,873.77/5,810.61 = 952.10/x
  3. Step 3: Cross multiply
    3,873.77x = 5,810.61 × 952.10
  4. Step 4: Simplify right side
    3,873.77x = 5,532,308.10
  5. Step 5: Solve for x
    x = 5,532,308.10/3,873.77
  6. Step 6: Final answer
    x = 1,428.14

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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.