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Finding the Fourth Proportional to 6,459.30, 9,679.71 and 3,680.24

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Solution

The fourth proportional to 6,459.30, 9,679.71 and 3,680.24 is: 5,515.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.30 : 9,679.71 = 3,680.24 : x
  2. Step 2: Convert to fraction form
    6,459.30/9,679.71 = 3,680.24/x
  3. Step 3: Cross multiply
    6,459.30x = 9,679.71 × 3,680.24
  4. Step 4: Simplify right side
    6,459.30x = 35,623,607.53
  5. Step 5: Solve for x
    x = 35,623,607.53/6,459.30
  6. Step 6: Final answer
    x = 5,515.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.