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Finding the Fourth Proportional to 5,302.86, 7,321.32 and 3,627.06

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Solution

The fourth proportional to 5,302.86, 7,321.32 and 3,627.06 is: 5,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.86 : 7,321.32 = 3,627.06 : x
  2. Step 2: Convert to fraction form
    5,302.86/7,321.32 = 3,627.06/x
  3. Step 3: Cross multiply
    5,302.86x = 7,321.32 × 3,627.06
  4. Step 4: Simplify right side
    5,302.86x = 26,554,866.92
  5. Step 5: Solve for x
    x = 26,554,866.92/5,302.86
  6. Step 6: Final answer
    x = 5,007.65

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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.