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Finding the Fourth Proportional to 4,662.27, 6,430.73 and 4,463.01

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Solution

The fourth proportional to 4,662.27, 6,430.73 and 4,463.01 is: 6,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.27 : 6,430.73 = 4,463.01 : x
  2. Step 2: Convert to fraction form
    4,662.27/6,430.73 = 4,463.01/x
  3. Step 3: Cross multiply
    4,662.27x = 6,430.73 × 4,463.01
  4. Step 4: Simplify right side
    4,662.27x = 28,700,389.98
  5. Step 5: Solve for x
    x = 28,700,389.98/4,662.27
  6. Step 6: Final answer
    x = 6,155.88

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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.