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Finding the Fourth Proportional to 4,662.77, 6,434.64 and 2,566.89

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Solution

The fourth proportional to 4,662.77, 6,434.64 and 2,566.89 is: 3,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.77 : 6,434.64 = 2,566.89 : x
  2. Step 2: Convert to fraction form
    4,662.77/6,434.64 = 2,566.89/x
  3. Step 3: Cross multiply
    4,662.77x = 6,434.64 × 2,566.89
  4. Step 4: Simplify right side
    4,662.77x = 16,517,013.07
  5. Step 5: Solve for x
    x = 16,517,013.07/4,662.77
  6. Step 6: Final answer
    x = 3,542.32

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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.