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Finding the Fourth Proportional to 4,543.21, 6,813.50 and 1,769.27

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Solution

The fourth proportional to 4,543.21, 6,813.50 and 1,769.27 is: 2,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.21 : 6,813.50 = 1,769.27 : x
  2. Step 2: Convert to fraction form
    4,543.21/6,813.50 = 1,769.27/x
  3. Step 3: Cross multiply
    4,543.21x = 6,813.50 × 1,769.27
  4. Step 4: Simplify right side
    4,543.21x = 12,054,878.23
  5. Step 5: Solve for x
    x = 12,054,878.23/4,543.21
  6. Step 6: Final answer
    x = 2,653.38

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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.