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Finding the Fourth Proportional to 5,505.14, 8,238.50 and 4,506.41

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Solution

The fourth proportional to 5,505.14, 8,238.50 and 4,506.41 is: 6,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.14 : 8,238.50 = 4,506.41 : x
  2. Step 2: Convert to fraction form
    5,505.14/8,238.50 = 4,506.41/x
  3. Step 3: Cross multiply
    5,505.14x = 8,238.50 × 4,506.41
  4. Step 4: Simplify right side
    5,505.14x = 37,126,036.25
  5. Step 5: Solve for x
    x = 37,126,036.25/5,505.14
  6. Step 6: Final answer
    x = 6,743.89

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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.