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Finding the Fourth Proportional to 4,509.81, 6,764.99 and 2,864.07

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Solution

The fourth proportional to 4,509.81, 6,764.99 and 2,864.07 is: 4,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.81 : 6,764.99 = 2,864.07 : x
  2. Step 2: Convert to fraction form
    4,509.81/6,764.99 = 2,864.07/x
  3. Step 3: Cross multiply
    4,509.81x = 6,764.99 × 2,864.07
  4. Step 4: Simplify right side
    4,509.81x = 19,375,390.59
  5. Step 5: Solve for x
    x = 19,375,390.59/4,509.81
  6. Step 6: Final answer
    x = 4,296.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.