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Finding the Fourth Proportional to 3,212.40, 4,795.59 and 2,984

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Solution

The fourth proportional to 3,212.40, 4,795.59 and 2,984 is: 4,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.40 : 4,795.59 = 2,984 : x
  2. Step 2: Convert to fraction form
    3,212.40/4,795.59 = 2,984/x
  3. Step 3: Cross multiply
    3,212.40x = 4,795.59 × 2,984
  4. Step 4: Simplify right side
    3,212.40x = 14,310,040.56
  5. Step 5: Solve for x
    x = 14,310,040.56/3,212.40
  6. Step 6: Final answer
    x = 4,454.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.