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Finding the Fourth Proportional to 6,513.92, 8,989.16 and 3,529.76

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Solution

The fourth proportional to 6,513.92, 8,989.16 and 3,529.76 is: 4,871.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.92 : 8,989.16 = 3,529.76 : x
  2. Step 2: Convert to fraction form
    6,513.92/8,989.16 = 3,529.76/x
  3. Step 3: Cross multiply
    6,513.92x = 8,989.16 × 3,529.76
  4. Step 4: Simplify right side
    6,513.92x = 31,729,577.40
  5. Step 5: Solve for x
    x = 31,729,577.40/6,513.92
  6. Step 6: Final answer
    x = 4,871.04

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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.