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Finding the Fourth Proportional to 4,534.96, 6,800.39 and 1,613.34

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Solution

The fourth proportional to 4,534.96, 6,800.39 and 1,613.34 is: 2,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.96 : 6,800.39 = 1,613.34 : x
  2. Step 2: Convert to fraction form
    4,534.96/6,800.39 = 1,613.34/x
  3. Step 3: Cross multiply
    4,534.96x = 6,800.39 × 1,613.34
  4. Step 4: Simplify right side
    4,534.96x = 10,971,333.14
  5. Step 5: Solve for x
    x = 10,971,333.14/4,534.96
  6. Step 6: Final answer
    x = 2,419.28

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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.