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Finding the Fourth Proportional to 3,851.64, 5,316.48 and 2,280.24

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Solution

The fourth proportional to 3,851.64, 5,316.48 and 2,280.24 is: 3,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.64 : 5,316.48 = 2,280.24 : x
  2. Step 2: Convert to fraction form
    3,851.64/5,316.48 = 2,280.24/x
  3. Step 3: Cross multiply
    3,851.64x = 5,316.48 × 2,280.24
  4. Step 4: Simplify right side
    3,851.64x = 12,122,850.36
  5. Step 5: Solve for x
    x = 12,122,850.36/3,851.64
  6. Step 6: Final answer
    x = 3,147.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.