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Finding the Fourth Proportional to 2,847.54, 3,904.52 and 2,566.64

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Solution

The fourth proportional to 2,847.54, 3,904.52 and 2,566.64 is: 3,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.54 : 3,904.52 = 2,566.64 : x
  2. Step 2: Convert to fraction form
    2,847.54/3,904.52 = 2,566.64/x
  3. Step 3: Cross multiply
    2,847.54x = 3,904.52 × 2,566.64
  4. Step 4: Simplify right side
    2,847.54x = 10,021,497.21
  5. Step 5: Solve for x
    x = 10,021,497.21/2,847.54
  6. Step 6: Final answer
    x = 3,519.35

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.