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Finding the Fourth Proportional to 3,920.96, 5,408.88 and 2,428.40

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Solution

The fourth proportional to 3,920.96, 5,408.88 and 2,428.40 is: 3,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.96 : 5,408.88 = 2,428.40 : x
  2. Step 2: Convert to fraction form
    3,920.96/5,408.88 = 2,428.40/x
  3. Step 3: Cross multiply
    3,920.96x = 5,408.88 × 2,428.40
  4. Step 4: Simplify right side
    3,920.96x = 13,134,924.19
  5. Step 5: Solve for x
    x = 13,134,924.19/3,920.96
  6. Step 6: Final answer
    x = 3,349.93

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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.