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Finding the Fourth Proportional to 4,541.69, 6,805.23 and 4,371

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Solution

The fourth proportional to 4,541.69, 6,805.23 and 4,371 is: 6,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.69 : 6,805.23 = 4,371 : x
  2. Step 2: Convert to fraction form
    4,541.69/6,805.23 = 4,371/x
  3. Step 3: Cross multiply
    4,541.69x = 6,805.23 × 4,371
  4. Step 4: Simplify right side
    4,541.69x = 29,745,660.33
  5. Step 5: Solve for x
    x = 29,745,660.33/4,541.69
  6. Step 6: Final answer
    x = 6,549.48

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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.