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Finding the Fourth Proportional to 4,977.12, 7,464.44 and 1,466.43

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Solution

The fourth proportional to 4,977.12, 7,464.44 and 1,466.43 is: 2,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.12 : 7,464.44 = 1,466.43 : x
  2. Step 2: Convert to fraction form
    4,977.12/7,464.44 = 1,466.43/x
  3. Step 3: Cross multiply
    4,977.12x = 7,464.44 × 1,466.43
  4. Step 4: Simplify right side
    4,977.12x = 10,946,071.42
  5. Step 5: Solve for x
    x = 10,946,071.42/4,977.12
  6. Step 6: Final answer
    x = 2,199.28

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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.