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Finding the Fourth Proportional to 5,410.84, 8,113.86 and 2,121.40

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Solution

The fourth proportional to 5,410.84, 8,113.86 and 2,121.40 is: 3,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.84 : 8,113.86 = 2,121.40 : x
  2. Step 2: Convert to fraction form
    5,410.84/8,113.86 = 2,121.40/x
  3. Step 3: Cross multiply
    5,410.84x = 8,113.86 × 2,121.40
  4. Step 4: Simplify right side
    5,410.84x = 17,212,742.60
  5. Step 5: Solve for x
    x = 17,212,742.60/5,410.84
  6. Step 6: Final answer
    x = 3,181.16

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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.