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Finding the Fourth Proportional to 4,608.90, 6,913.35 and 3,952.80

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Solution

The fourth proportional to 4,608.90, 6,913.35 and 3,952.80 is: 5,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.90 : 6,913.35 = 3,952.80 : x
  2. Step 2: Convert to fraction form
    4,608.90/6,913.35 = 3,952.80/x
  3. Step 3: Cross multiply
    4,608.90x = 6,913.35 × 3,952.80
  4. Step 4: Simplify right side
    4,608.90x = 27,327,089.88
  5. Step 5: Solve for x
    x = 27,327,089.88/4,608.90
  6. Step 6: Final answer
    x = 5,929.20

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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.