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Finding the Fourth Proportional to 5,668.16, 8,505.56 and 2,381

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Solution

The fourth proportional to 5,668.16, 8,505.56 and 2,381 is: 3,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.16 : 8,505.56 = 2,381 : x
  2. Step 2: Convert to fraction form
    5,668.16/8,505.56 = 2,381/x
  3. Step 3: Cross multiply
    5,668.16x = 8,505.56 × 2,381
  4. Step 4: Simplify right side
    5,668.16x = 20,251,738.36
  5. Step 5: Solve for x
    x = 20,251,738.36/5,668.16
  6. Step 6: Final answer
    x = 3,572.89

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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.