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Finding the Fourth Proportional to 5,523.86, 7,623.01 and 3,006.07

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Solution

The fourth proportional to 5,523.86, 7,623.01 and 3,006.07 is: 4,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.86 : 7,623.01 = 3,006.07 : x
  2. Step 2: Convert to fraction form
    5,523.86/7,623.01 = 3,006.07/x
  3. Step 3: Cross multiply
    5,523.86x = 7,623.01 × 3,006.07
  4. Step 4: Simplify right side
    5,523.86x = 22,915,275.10
  5. Step 5: Solve for x
    x = 22,915,275.10/5,523.86
  6. Step 6: Final answer
    x = 4,148.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.