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Finding the Fourth Proportional to 4,066, 6,099.30 and 2,977.24

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Solution

The fourth proportional to 4,066, 6,099.30 and 2,977.24 is: 4,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066 : 6,099.30 = 2,977.24 : x
  2. Step 2: Convert to fraction form
    4,066/6,099.30 = 2,977.24/x
  3. Step 3: Cross multiply
    4,066x = 6,099.30 × 2,977.24
  4. Step 4: Simplify right side
    4,066x = 18,159,079.93
  5. Step 5: Solve for x
    x = 18,159,079.93/4,066
  6. Step 6: Final answer
    x = 4,466.08

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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.