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Finding the Fourth Proportional to 6,509.02, 8,982.43 and 3,524.86

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Solution

The fourth proportional to 6,509.02, 8,982.43 and 3,524.86 is: 4,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.02 : 8,982.43 = 3,524.86 : x
  2. Step 2: Convert to fraction form
    6,509.02/8,982.43 = 3,524.86/x
  3. Step 3: Cross multiply
    6,509.02x = 8,982.43 × 3,524.86
  4. Step 4: Simplify right side
    6,509.02x = 31,661,776.94
  5. Step 5: Solve for x
    x = 31,661,776.94/6,509.02
  6. Step 6: Final answer
    x = 4,864.29

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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.