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Finding the Fourth Proportional to 6,509.16, 8,982.60 and 3,525

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Solution

The fourth proportional to 6,509.16, 8,982.60 and 3,525 is: 4,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.16 : 8,982.60 = 3,525 : x
  2. Step 2: Convert to fraction form
    6,509.16/8,982.60 = 3,525/x
  3. Step 3: Cross multiply
    6,509.16x = 8,982.60 × 3,525
  4. Step 4: Simplify right side
    6,509.16x = 31,663,665
  5. Step 5: Solve for x
    x = 31,663,665/6,509.16
  6. Step 6: Final answer
    x = 4,864.48

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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.