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Finding the Fourth Proportional to 4,662.54, 6,434.29 and 2,566.66

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Solution

The fourth proportional to 4,662.54, 6,434.29 and 2,566.66 is: 3,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.54 : 6,434.29 = 2,566.66 : x
  2. Step 2: Convert to fraction form
    4,662.54/6,434.29 = 2,566.66/x
  3. Step 3: Cross multiply
    4,662.54x = 6,434.29 × 2,566.66
  4. Step 4: Simplify right side
    4,662.54x = 16,514,634.77
  5. Step 5: Solve for x
    x = 16,514,634.77/4,662.54
  6. Step 6: Final answer
    x = 3,541.98

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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.