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Finding the Fourth Proportional to 3,871.28, 5,336.52 and 3,307.52

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Solution

The fourth proportional to 3,871.28, 5,336.52 and 3,307.52 is: 4,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.28 : 5,336.52 = 3,307.52 : x
  2. Step 2: Convert to fraction form
    3,871.28/5,336.52 = 3,307.52/x
  3. Step 3: Cross multiply
    3,871.28x = 5,336.52 × 3,307.52
  4. Step 4: Simplify right side
    3,871.28x = 17,650,646.63
  5. Step 5: Solve for x
    x = 17,650,646.63/3,871.28
  6. Step 6: Final answer
    x = 4,559.38

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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.