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Finding the Fourth Proportional to 6,512.05, 8,986.63 and 3,527.90

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Solution

The fourth proportional to 6,512.05, 8,986.63 and 3,527.90 is: 4,868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.05 : 8,986.63 = 3,527.90 : x
  2. Step 2: Convert to fraction form
    6,512.05/8,986.63 = 3,527.90/x
  3. Step 3: Cross multiply
    6,512.05x = 8,986.63 × 3,527.90
  4. Step 4: Simplify right side
    6,512.05x = 31,703,869.40
  5. Step 5: Solve for x
    x = 31,703,869.40/6,512.05
  6. Step 6: Final answer
    x = 4,868.49

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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.