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Finding the Fourth Proportional to 2,871.42, 4,325.28 and 2,566.86

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Solution

The fourth proportional to 2,871.42, 4,325.28 and 2,566.86 is: 3,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.42 : 4,325.28 = 2,566.86 : x
  2. Step 2: Convert to fraction form
    2,871.42/4,325.28 = 2,566.86/x
  3. Step 3: Cross multiply
    2,871.42x = 4,325.28 × 2,566.86
  4. Step 4: Simplify right side
    2,871.42x = 11,102,388.22
  5. Step 5: Solve for x
    x = 11,102,388.22/2,871.42
  6. Step 6: Final answer
    x = 3,866.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.