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Finding the Fourth Proportional to 4,664.82, 6,437.16 and 2,568.95

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Solution

The fourth proportional to 4,664.82, 6,437.16 and 2,568.95 is: 3,544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.82 : 6,437.16 = 2,568.95 : x
  2. Step 2: Convert to fraction form
    4,664.82/6,437.16 = 2,568.95/x
  3. Step 3: Cross multiply
    4,664.82x = 6,437.16 × 2,568.95
  4. Step 4: Simplify right side
    4,664.82x = 16,536,710.00
  5. Step 5: Solve for x
    x = 16,536,710.00/4,664.82
  6. Step 6: Final answer
    x = 3,544.98

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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.