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Finding the Fourth Proportional to 3,396.34, 5,088.16 and 2,005.53

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Solution

The fourth proportional to 3,396.34, 5,088.16 and 2,005.53 is: 3,004.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.34 : 5,088.16 = 2,005.53 : x
  2. Step 2: Convert to fraction form
    3,396.34/5,088.16 = 2,005.53/x
  3. Step 3: Cross multiply
    3,396.34x = 5,088.16 × 2,005.53
  4. Step 4: Simplify right side
    3,396.34x = 10,204,457.52
  5. Step 5: Solve for x
    x = 10,204,457.52/3,396.34
  6. Step 6: Final answer
    x = 3,004.55

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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.