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Finding the Fourth Proportional to 4,543.88, 6,816.33 and 1,423.82

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Solution

The fourth proportional to 4,543.88, 6,816.33 and 1,423.82 is: 2,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.88 : 6,816.33 = 1,423.82 : x
  2. Step 2: Convert to fraction form
    4,543.88/6,816.33 = 1,423.82/x
  3. Step 3: Cross multiply
    4,543.88x = 6,816.33 × 1,423.82
  4. Step 4: Simplify right side
    4,543.88x = 9,705,244.02
  5. Step 5: Solve for x
    x = 9,705,244.02/4,543.88
  6. Step 6: Final answer
    x = 2,135.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.