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Finding the Fourth Proportional to 4,817.19, 7,224.94 and 1,699.50

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Solution

The fourth proportional to 4,817.19, 7,224.94 and 1,699.50 is: 2,548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.19 : 7,224.94 = 1,699.50 : x
  2. Step 2: Convert to fraction form
    4,817.19/7,224.94 = 1,699.50/x
  3. Step 3: Cross multiply
    4,817.19x = 7,224.94 × 1,699.50
  4. Step 4: Simplify right side
    4,817.19x = 12,278,785.53
  5. Step 5: Solve for x
    x = 12,278,785.53/4,817.19
  6. Step 6: Final answer
    x = 2,548.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.