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Finding the Fourth Proportional to 4,928.82, 7,393.26 and 1,466.10

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Solution

The fourth proportional to 4,928.82, 7,393.26 and 1,466.10 is: 2,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.82 : 7,393.26 = 1,466.10 : x
  2. Step 2: Convert to fraction form
    4,928.82/7,393.26 = 1,466.10/x
  3. Step 3: Cross multiply
    4,928.82x = 7,393.26 × 1,466.10
  4. Step 4: Simplify right side
    4,928.82x = 10,839,258.49
  5. Step 5: Solve for x
    x = 10,839,258.49/4,928.82
  6. Step 6: Final answer
    x = 2,199.16

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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.