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Finding the Fourth Proportional to 5,300.75, 7,321.93 and 4,034.12

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Solution

The fourth proportional to 5,300.75, 7,321.93 and 4,034.12 is: 5,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.75 : 7,321.93 = 4,034.12 : x
  2. Step 2: Convert to fraction form
    5,300.75/7,321.93 = 4,034.12/x
  3. Step 3: Cross multiply
    5,300.75x = 7,321.93 × 4,034.12
  4. Step 4: Simplify right side
    5,300.75x = 29,537,497.56
  5. Step 5: Solve for x
    x = 29,537,497.56/5,300.75
  6. Step 6: Final answer
    x = 5,572.32

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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.