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Finding the Fourth Proportional to 3,212.80, 4,810.08 and 3,212.80

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Solution

The fourth proportional to 3,212.80, 4,810.08 and 3,212.80 is: 4,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.80 : 4,810.08 = 3,212.80 : x
  2. Step 2: Convert to fraction form
    3,212.80/4,810.08 = 3,212.80/x
  3. Step 3: Cross multiply
    3,212.80x = 4,810.08 × 3,212.80
  4. Step 4: Simplify right side
    3,212.80x = 15,453,825.02
  5. Step 5: Solve for x
    x = 15,453,825.02/3,212.80
  6. Step 6: Final answer
    x = 4,810.08

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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.