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Finding the Fourth Proportional to 4,321.80, 6,478.64 and 3,266

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Solution

The fourth proportional to 4,321.80, 6,478.64 and 3,266 is: 4,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.80 : 6,478.64 = 3,266 : x
  2. Step 2: Convert to fraction form
    4,321.80/6,478.64 = 3,266/x
  3. Step 3: Cross multiply
    4,321.80x = 6,478.64 × 3,266
  4. Step 4: Simplify right side
    4,321.80x = 21,159,238.24
  5. Step 5: Solve for x
    x = 21,159,238.24/4,321.80
  6. Step 6: Final answer
    x = 4,895.93

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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.