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Finding the Fourth Proportional to 3,851.48, 5,775.91 and 1,253.81

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Solution

The fourth proportional to 3,851.48, 5,775.91 and 1,253.81 is: 1,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.48 : 5,775.91 = 1,253.81 : x
  2. Step 2: Convert to fraction form
    3,851.48/5,775.91 = 1,253.81/x
  3. Step 3: Cross multiply
    3,851.48x = 5,775.91 × 1,253.81
  4. Step 4: Simplify right side
    3,851.48x = 7,241,905.02
  5. Step 5: Solve for x
    x = 7,241,905.02/3,851.48
  6. Step 6: Final answer
    x = 1,880.29

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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.