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Finding the Fourth Proportional to 4,543.22, 6,813.38 and 1,464.50

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Solution

The fourth proportional to 4,543.22, 6,813.38 and 1,464.50 is: 2,196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.22 : 6,813.38 = 1,464.50 : x
  2. Step 2: Convert to fraction form
    4,543.22/6,813.38 = 1,464.50/x
  3. Step 3: Cross multiply
    4,543.22x = 6,813.38 × 1,464.50
  4. Step 4: Simplify right side
    4,543.22x = 9,978,195.01
  5. Step 5: Solve for x
    x = 9,978,195.01/4,543.22
  6. Step 6: Final answer
    x = 2,196.28

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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.