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Finding the Fourth Proportional to 4,680.26, 6,459.18 and 3,266

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Solution

The fourth proportional to 4,680.26, 6,459.18 and 3,266 is: 4,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.26 : 6,459.18 = 3,266 : x
  2. Step 2: Convert to fraction form
    4,680.26/6,459.18 = 3,266/x
  3. Step 3: Cross multiply
    4,680.26x = 6,459.18 × 3,266
  4. Step 4: Simplify right side
    4,680.26x = 21,095,681.88
  5. Step 5: Solve for x
    x = 21,095,681.88/4,680.26
  6. Step 6: Final answer
    x = 4,507.37

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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.