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Finding the Fourth Proportional to 3,882.55, 5,823.25 and 1,416.79

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Solution

The fourth proportional to 3,882.55, 5,823.25 and 1,416.79 is: 2,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.55 : 5,823.25 = 1,416.79 : x
  2. Step 2: Convert to fraction form
    3,882.55/5,823.25 = 1,416.79/x
  3. Step 3: Cross multiply
    3,882.55x = 5,823.25 × 1,416.79
  4. Step 4: Simplify right side
    3,882.55x = 8,250,322.37
  5. Step 5: Solve for x
    x = 8,250,322.37/3,882.55
  6. Step 6: Final answer
    x = 2,124.98

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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.