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Finding the Fourth Proportional to 3,313.49, 4,571.96 and 1,897.63

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Solution

The fourth proportional to 3,313.49, 4,571.96 and 1,897.63 is: 2,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.49 : 4,571.96 = 1,897.63 : x
  2. Step 2: Convert to fraction form
    3,313.49/4,571.96 = 1,897.63/x
  3. Step 3: Cross multiply
    3,313.49x = 4,571.96 × 1,897.63
  4. Step 4: Simplify right side
    3,313.49x = 8,675,878.21
  5. Step 5: Solve for x
    x = 8,675,878.21/3,313.49
  6. Step 6: Final answer
    x = 2,618.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.