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Finding the Fourth Proportional to 3,528.68, 4,871.38 and 2,583.42

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Solution

The fourth proportional to 3,528.68, 4,871.38 and 2,583.42 is: 3,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.68 : 4,871.38 = 2,583.42 : x
  2. Step 2: Convert to fraction form
    3,528.68/4,871.38 = 2,583.42/x
  3. Step 3: Cross multiply
    3,528.68x = 4,871.38 × 2,583.42
  4. Step 4: Simplify right side
    3,528.68x = 12,584,820.52
  5. Step 5: Solve for x
    x = 12,584,820.52/3,528.68
  6. Step 6: Final answer
    x = 3,566.44

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Why These Related Problems?

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