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Finding the Fourth Proportional to 4,670.71, 7,006.26 and 1,383.73

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Solution

The fourth proportional to 4,670.71, 7,006.26 and 1,383.73 is: 2,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.71 : 7,006.26 = 1,383.73 : x
  2. Step 2: Convert to fraction form
    4,670.71/7,006.26 = 1,383.73/x
  3. Step 3: Cross multiply
    4,670.71x = 7,006.26 × 1,383.73
  4. Step 4: Simplify right side
    4,670.71x = 9,694,772.15
  5. Step 5: Solve for x
    x = 9,694,772.15/4,670.71
  6. Step 6: Final answer
    x = 2,075.65

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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.