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Finding the Fourth Proportional to 5,315.80, 7,968.77 and 2,352.67

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Solution

The fourth proportional to 5,315.80, 7,968.77 and 2,352.67 is: 3,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.80 : 7,968.77 = 2,352.67 : x
  2. Step 2: Convert to fraction form
    5,315.80/7,968.77 = 2,352.67/x
  3. Step 3: Cross multiply
    5,315.80x = 7,968.77 × 2,352.67
  4. Step 4: Simplify right side
    5,315.80x = 18,747,872.08
  5. Step 5: Solve for x
    x = 18,747,872.08/5,315.80
  6. Step 6: Final answer
    x = 3,526.82

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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.