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Finding the Fourth Proportional to 3,455.84, 5,181.32 and 1,115.07

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Solution

The fourth proportional to 3,455.84, 5,181.32 and 1,115.07 is: 1,671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.84 : 5,181.32 = 1,115.07 : x
  2. Step 2: Convert to fraction form
    3,455.84/5,181.32 = 1,115.07/x
  3. Step 3: Cross multiply
    3,455.84x = 5,181.32 × 1,115.07
  4. Step 4: Simplify right side
    3,455.84x = 5,777,528.92
  5. Step 5: Solve for x
    x = 5,777,528.92/3,455.84
  6. Step 6: Final answer
    x = 1,671.82

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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.