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Finding the Fourth Proportional to 5,751.14, 8,628.52 and 2,053.28

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Solution

The fourth proportional to 5,751.14, 8,628.52 and 2,053.28 is: 3,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.14 : 8,628.52 = 2,053.28 : x
  2. Step 2: Convert to fraction form
    5,751.14/8,628.52 = 2,053.28/x
  3. Step 3: Cross multiply
    5,751.14x = 8,628.52 × 2,053.28
  4. Step 4: Simplify right side
    5,751.14x = 17,716,794.25
  5. Step 5: Solve for x
    x = 17,716,794.25/5,751.14
  6. Step 6: Final answer
    x = 3,080.57

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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.