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Finding the Fourth Proportional to 6,513.96, 8,988.30 and 3,680.58

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Solution

The fourth proportional to 6,513.96, 8,988.30 and 3,680.58 is: 5,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.96 : 8,988.30 = 3,680.58 : x
  2. Step 2: Convert to fraction form
    6,513.96/8,988.30 = 3,680.58/x
  3. Step 3: Cross multiply
    6,513.96x = 8,988.30 × 3,680.58
  4. Step 4: Simplify right side
    6,513.96x = 33,082,157.21
  5. Step 5: Solve for x
    x = 33,082,157.21/6,513.96
  6. Step 6: Final answer
    x = 5,078.66

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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.