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Finding the Fourth Proportional to 4,664.52, 6,437.02 and 2,568.66

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Solution

The fourth proportional to 4,664.52, 6,437.02 and 2,568.66 is: 3,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.52 : 6,437.02 = 2,568.66 : x
  2. Step 2: Convert to fraction form
    4,664.52/6,437.02 = 2,568.66/x
  3. Step 3: Cross multiply
    4,664.52x = 6,437.02 × 2,568.66
  4. Step 4: Simplify right side
    4,664.52x = 16,534,515.79
  5. Step 5: Solve for x
    x = 16,534,515.79/4,664.52
  6. Step 6: Final answer
    x = 3,544.74

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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.