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Finding the Fourth Proportional to 3,412.02, 5,113.60 and 1,536.54

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Solution

The fourth proportional to 3,412.02, 5,113.60 and 1,536.54 is: 2,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.02 : 5,113.60 = 1,536.54 : x
  2. Step 2: Convert to fraction form
    3,412.02/5,113.60 = 1,536.54/x
  3. Step 3: Cross multiply
    3,412.02x = 5,113.60 × 1,536.54
  4. Step 4: Simplify right side
    3,412.02x = 7,857,227.93
  5. Step 5: Solve for x
    x = 7,857,227.93/3,412.02
  6. Step 6: Final answer
    x = 2,302.81

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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.