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Finding the Fourth Proportional to 3,005.44, 4,145.44 and 2,556.16

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Solution

The fourth proportional to 3,005.44, 4,145.44 and 2,556.16 is: 3,525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.44 : 4,145.44 = 2,556.16 : x
  2. Step 2: Convert to fraction form
    3,005.44/4,145.44 = 2,556.16/x
  3. Step 3: Cross multiply
    3,005.44x = 4,145.44 × 2,556.16
  4. Step 4: Simplify right side
    3,005.44x = 10,596,407.91
  5. Step 5: Solve for x
    x = 10,596,407.91/3,005.44
  6. Step 6: Final answer
    x = 3,525.74

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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.