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Finding the Fourth Proportional to 4,219.59, 6,329.60 and 1,754.15

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Solution

The fourth proportional to 4,219.59, 6,329.60 and 1,754.15 is: 2,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.59 : 6,329.60 = 1,754.15 : x
  2. Step 2: Convert to fraction form
    4,219.59/6,329.60 = 1,754.15/x
  3. Step 3: Cross multiply
    4,219.59x = 6,329.60 × 1,754.15
  4. Step 4: Simplify right side
    4,219.59x = 11,103,059.07
  5. Step 5: Solve for x
    x = 11,103,059.07/4,219.59
  6. Step 6: Final answer
    x = 2,631.31

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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.