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Finding the Fourth Proportional to 6,512.00, 8,983.58 and 3,857.90

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Solution

The fourth proportional to 6,512.00, 8,983.58 and 3,857.90 is: 5,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.00 : 8,983.58 = 3,857.90 : x
  2. Step 2: Convert to fraction form
    6,512.00/8,983.58 = 3,857.90/x
  3. Step 3: Cross multiply
    6,512.00x = 8,983.58 × 3,857.90
  4. Step 4: Simplify right side
    6,512.00x = 34,657,689.07
  5. Step 5: Solve for x
    x = 34,657,689.07/6,512.00
  6. Step 6: Final answer
    x = 5,322.13

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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.