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Finding the Fourth Proportional to 4,814.82, 6,644.25 and 2,719.02

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Solution

The fourth proportional to 4,814.82, 6,644.25 and 2,719.02 is: 3,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.82 : 6,644.25 = 2,719.02 : x
  2. Step 2: Convert to fraction form
    4,814.82/6,644.25 = 2,719.02/x
  3. Step 3: Cross multiply
    4,814.82x = 6,644.25 × 2,719.02
  4. Step 4: Simplify right side
    4,814.82x = 18,065,848.64
  5. Step 5: Solve for x
    x = 18,065,848.64/4,814.82
  6. Step 6: Final answer
    x = 3,752.13

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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.