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Finding the Fourth Proportional to 3,390.96, 5,086.48 and 926.04

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Solution

The fourth proportional to 3,390.96, 5,086.48 and 926.04 is: 1,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.96 : 5,086.48 = 926.04 : x
  2. Step 2: Convert to fraction form
    3,390.96/5,086.48 = 926.04/x
  3. Step 3: Cross multiply
    3,390.96x = 5,086.48 × 926.04
  4. Step 4: Simplify right side
    3,390.96x = 4,710,283.94
  5. Step 5: Solve for x
    x = 4,710,283.94/3,390.96
  6. Step 6: Final answer
    x = 1,389.07

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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.