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Finding the Fourth Proportional to 4,963.74, 7,441.88 and 2,333.06

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Solution

The fourth proportional to 4,963.74, 7,441.88 and 2,333.06 is: 3,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.74 : 7,441.88 = 2,333.06 : x
  2. Step 2: Convert to fraction form
    4,963.74/7,441.88 = 2,333.06/x
  3. Step 3: Cross multiply
    4,963.74x = 7,441.88 × 2,333.06
  4. Step 4: Simplify right side
    4,963.74x = 17,362,352.55
  5. Step 5: Solve for x
    x = 17,362,352.55/4,963.74
  6. Step 6: Final answer
    x = 3,497.84

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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.