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Finding the Fourth Proportional to 3,503.09, 5,256.47 and 1,424.63

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Solution

The fourth proportional to 3,503.09, 5,256.47 and 1,424.63 is: 2,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.09 : 5,256.47 = 1,424.63 : x
  2. Step 2: Convert to fraction form
    3,503.09/5,256.47 = 1,424.63/x
  3. Step 3: Cross multiply
    3,503.09x = 5,256.47 × 1,424.63
  4. Step 4: Simplify right side
    3,503.09x = 7,488,517.73
  5. Step 5: Solve for x
    x = 7,488,517.73/3,503.09
  6. Step 6: Final answer
    x = 2,137.69

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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.