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Finding the Fourth Proportional to 5,410.05, 7,466.18 and 3,314.58

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Solution

The fourth proportional to 5,410.05, 7,466.18 and 3,314.58 is: 4,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.05 : 7,466.18 = 3,314.58 : x
  2. Step 2: Convert to fraction form
    5,410.05/7,466.18 = 3,314.58/x
  3. Step 3: Cross multiply
    5,410.05x = 7,466.18 × 3,314.58
  4. Step 4: Simplify right side
    5,410.05x = 24,747,250.90
  5. Step 5: Solve for x
    x = 24,747,250.90/5,410.05
  6. Step 6: Final answer
    x = 4,574.31

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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.