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Finding the Fourth Proportional to 4,561.14, 6,829.36 and 2,365.27

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Solution

The fourth proportional to 4,561.14, 6,829.36 and 2,365.27 is: 3,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.14 : 6,829.36 = 2,365.27 : x
  2. Step 2: Convert to fraction form
    4,561.14/6,829.36 = 2,365.27/x
  3. Step 3: Cross multiply
    4,561.14x = 6,829.36 × 2,365.27
  4. Step 4: Simplify right side
    4,561.14x = 16,153,257.34
  5. Step 5: Solve for x
    x = 16,153,257.34/4,561.14
  6. Step 6: Final answer
    x = 3,541.49

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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.