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Finding the Fourth Proportional to 4,662.14, 6,433.58 and 2,566.27

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Solution

The fourth proportional to 4,662.14, 6,433.58 and 2,566.27 is: 3,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.14 : 6,433.58 = 2,566.27 : x
  2. Step 2: Convert to fraction form
    4,662.14/6,433.58 = 2,566.27/x
  3. Step 3: Cross multiply
    4,662.14x = 6,433.58 × 2,566.27
  4. Step 4: Simplify right side
    4,662.14x = 16,510,258.35
  5. Step 5: Solve for x
    x = 16,510,258.35/4,662.14
  6. Step 6: Final answer
    x = 3,541.35

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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.