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Finding the Fourth Proportional to 4,662.38, 6,434.08 and 2,566.64

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Solution

The fourth proportional to 4,662.38, 6,434.08 and 2,566.64 is: 3,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.38 : 6,434.08 = 2,566.64 : x
  2. Step 2: Convert to fraction form
    4,662.38/6,434.08 = 2,566.64/x
  3. Step 3: Cross multiply
    4,662.38x = 6,434.08 × 2,566.64
  4. Step 4: Simplify right side
    4,662.38x = 16,513,967.09
  5. Step 5: Solve for x
    x = 16,513,967.09/4,662.38
  6. Step 6: Final answer
    x = 3,541.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.