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Finding the Fourth Proportional to 4,646.52, 6,968.82 and 3,871.52

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Solution

The fourth proportional to 4,646.52, 6,968.82 and 3,871.52 is: 5,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.52 : 6,968.82 = 3,871.52 : x
  2. Step 2: Convert to fraction form
    4,646.52/6,968.82 = 3,871.52/x
  3. Step 3: Cross multiply
    4,646.52x = 6,968.82 × 3,871.52
  4. Step 4: Simplify right side
    4,646.52x = 26,979,926.01
  5. Step 5: Solve for x
    x = 26,979,926.01/4,646.52
  6. Step 6: Final answer
    x = 5,806.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.