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Finding the Fourth Proportional to 5,410.05, 7,465.63 and 3,052.41

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Solution

The fourth proportional to 5,410.05, 7,465.63 and 3,052.41 is: 4,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.05 : 7,465.63 = 3,052.41 : x
  2. Step 2: Convert to fraction form
    5,410.05/7,465.63 = 3,052.41/x
  3. Step 3: Cross multiply
    5,410.05x = 7,465.63 × 3,052.41
  4. Step 4: Simplify right side
    5,410.05x = 22,788,163.67
  5. Step 5: Solve for x
    x = 22,788,163.67/5,410.05
  6. Step 6: Final answer
    x = 4,212.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.