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Finding the Fourth Proportional to 4,870.41, 7,304.23 and 2,096.47

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Solution

The fourth proportional to 4,870.41, 7,304.23 and 2,096.47 is: 3,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.41 : 7,304.23 = 2,096.47 : x
  2. Step 2: Convert to fraction form
    4,870.41/7,304.23 = 2,096.47/x
  3. Step 3: Cross multiply
    4,870.41x = 7,304.23 × 2,096.47
  4. Step 4: Simplify right side
    4,870.41x = 15,313,099.07
  5. Step 5: Solve for x
    x = 15,313,099.07/4,870.41
  6. Step 6: Final answer
    x = 3,144.11

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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.