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Finding the Fourth Proportional to 3,602.45, 5,401.05 and 2,429.54

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Solution

The fourth proportional to 3,602.45, 5,401.05 and 2,429.54 is: 3,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.45 : 5,401.05 = 2,429.54 : x
  2. Step 2: Convert to fraction form
    3,602.45/5,401.05 = 2,429.54/x
  3. Step 3: Cross multiply
    3,602.45x = 5,401.05 × 2,429.54
  4. Step 4: Simplify right side
    3,602.45x = 13,122,067.02
  5. Step 5: Solve for x
    x = 13,122,067.02/3,602.45
  6. Step 6: Final answer
    x = 3,642.54

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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.