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Finding the Fourth Proportional to 3,368.96, 5,054.16 and 1,028.88

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Solution

The fourth proportional to 3,368.96, 5,054.16 and 1,028.88 is: 1,543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.96 : 5,054.16 = 1,028.88 : x
  2. Step 2: Convert to fraction form
    3,368.96/5,054.16 = 1,028.88/x
  3. Step 3: Cross multiply
    3,368.96x = 5,054.16 × 1,028.88
  4. Step 4: Simplify right side
    3,368.96x = 5,200,124.14
  5. Step 5: Solve for x
    x = 5,200,124.14/3,368.96
  6. Step 6: Final answer
    x = 1,543.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.