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Finding the Fourth Proportional to 4,506.21, 6,758.23 and 1,219.33

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Solution

The fourth proportional to 4,506.21, 6,758.23 and 1,219.33 is: 1,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.21 : 6,758.23 = 1,219.33 : x
  2. Step 2: Convert to fraction form
    4,506.21/6,758.23 = 1,219.33/x
  3. Step 3: Cross multiply
    4,506.21x = 6,758.23 × 1,219.33
  4. Step 4: Simplify right side
    4,506.21x = 8,240,512.59
  5. Step 5: Solve for x
    x = 8,240,512.59/4,506.21
  6. Step 6: Final answer
    x = 1,828.70

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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.