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Finding the Fourth Proportional to 5,173.56, 7,762.91 and 2,053.50

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Solution

The fourth proportional to 5,173.56, 7,762.91 and 2,053.50 is: 3,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.56 : 7,762.91 = 2,053.50 : x
  2. Step 2: Convert to fraction form
    5,173.56/7,762.91 = 2,053.50/x
  3. Step 3: Cross multiply
    5,173.56x = 7,762.91 × 2,053.50
  4. Step 4: Simplify right side
    5,173.56x = 15,941,135.69
  5. Step 5: Solve for x
    x = 15,941,135.69/5,173.56
  6. Step 6: Final answer
    x = 3,081.27

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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.