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Finding the Fourth Proportional to 3,391.49, 5,087.21 and 926.31

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Solution

The fourth proportional to 3,391.49, 5,087.21 and 926.31 is: 1,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.49 : 5,087.21 = 926.31 : x
  2. Step 2: Convert to fraction form
    3,391.49/5,087.21 = 926.31/x
  3. Step 3: Cross multiply
    3,391.49x = 5,087.21 × 926.31
  4. Step 4: Simplify right side
    3,391.49x = 4,712,341.58
  5. Step 5: Solve for x
    x = 4,712,341.58/3,391.49
  6. Step 6: Final answer
    x = 1,389.46

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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.