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Finding the Fourth Proportional to 4,283.85, 6,425.78 and 2,096.85

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Solution

The fourth proportional to 4,283.85, 6,425.78 and 2,096.85 is: 3,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.85 : 6,425.78 = 2,096.85 : x
  2. Step 2: Convert to fraction form
    4,283.85/6,425.78 = 2,096.85/x
  3. Step 3: Cross multiply
    4,283.85x = 6,425.78 × 2,096.85
  4. Step 4: Simplify right side
    4,283.85x = 13,473,886.31
  5. Step 5: Solve for x
    x = 13,473,886.31/4,283.85
  6. Step 6: Final answer
    x = 3,145.28

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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.