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Finding the Fourth Proportional to 3,391.59, 5,087.21 and 926.40

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Solution

The fourth proportional to 3,391.59, 5,087.21 and 926.40 is: 1,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.59 : 5,087.21 = 926.40 : x
  2. Step 2: Convert to fraction form
    3,391.59/5,087.21 = 926.40/x
  3. Step 3: Cross multiply
    3,391.59x = 5,087.21 × 926.40
  4. Step 4: Simplify right side
    3,391.59x = 4,712,786.71
  5. Step 5: Solve for x
    x = 4,712,786.71/3,391.59
  6. Step 6: Final answer
    x = 1,389.55

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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.