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Finding the Fourth Proportional to 4,509.81, 6,221.37 and 2,830.39

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Solution

The fourth proportional to 4,509.81, 6,221.37 and 2,830.39 is: 3,904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.81 : 6,221.37 = 2,830.39 : x
  2. Step 2: Convert to fraction form
    4,509.81/6,221.37 = 2,830.39/x
  3. Step 3: Cross multiply
    4,509.81x = 6,221.37 × 2,830.39
  4. Step 4: Simplify right side
    4,509.81x = 17,608,903.43
  5. Step 5: Solve for x
    x = 17,608,903.43/4,509.81
  6. Step 6: Final answer
    x = 3,904.58

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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.