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Finding the Fourth Proportional to 5,525.76, 7,623.36 and 3,846.72

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Solution

The fourth proportional to 5,525.76, 7,623.36 and 3,846.72 is: 5,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,525.76 : 7,623.36 = 3,846.72 : x
  2. Step 2: Convert to fraction form
    5,525.76/7,623.36 = 3,846.72/x
  3. Step 3: Cross multiply
    5,525.76x = 7,623.36 × 3,846.72
  4. Step 4: Simplify right side
    5,525.76x = 29,324,931.38
  5. Step 5: Solve for x
    x = 29,324,931.38/5,525.76
  6. Step 6: Final answer
    x = 5,306.95

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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.