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Finding the Fourth Proportional to 3,459.96, 5,181.57 and 2,421

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Solution

The fourth proportional to 3,459.96, 5,181.57 and 2,421 is: 3,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.96 : 5,181.57 = 2,421 : x
  2. Step 2: Convert to fraction form
    3,459.96/5,181.57 = 2,421/x
  3. Step 3: Cross multiply
    3,459.96x = 5,181.57 × 2,421
  4. Step 4: Simplify right side
    3,459.96x = 12,544,580.97
  5. Step 5: Solve for x
    x = 12,544,580.97/3,459.96
  6. Step 6: Final answer
    x = 3,625.64

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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.