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Finding the Fourth Proportional to 6,510.45, 8,983.77 and 3,638.64

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Solution

The fourth proportional to 6,510.45, 8,983.77 and 3,638.64 is: 5,020.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.45 : 8,983.77 = 3,638.64 : x
  2. Step 2: Convert to fraction form
    6,510.45/8,983.77 = 3,638.64/x
  3. Step 3: Cross multiply
    6,510.45x = 8,983.77 × 3,638.64
  4. Step 4: Simplify right side
    6,510.45x = 32,688,752.21
  5. Step 5: Solve for x
    x = 32,688,752.21/6,510.45
  6. Step 6: Final answer
    x = 5,020.97

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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.