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Finding the Fourth Proportional to 3,431.84, 5,147.76 and 2,410.40

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Solution

The fourth proportional to 3,431.84, 5,147.76 and 2,410.40 is: 3,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.84 : 5,147.76 = 2,410.40 : x
  2. Step 2: Convert to fraction form
    3,431.84/5,147.76 = 2,410.40/x
  3. Step 3: Cross multiply
    3,431.84x = 5,147.76 × 2,410.40
  4. Step 4: Simplify right side
    3,431.84x = 12,408,160.70
  5. Step 5: Solve for x
    x = 12,408,160.70/3,431.84
  6. Step 6: Final answer
    x = 3,615.60

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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.