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Finding the Fourth Proportional to 5,259.37, 7,900.50 and 3,180.35

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Solution

The fourth proportional to 5,259.37, 7,900.50 and 3,180.35 is: 4,777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.37 : 7,900.50 = 3,180.35 : x
  2. Step 2: Convert to fraction form
    5,259.37/7,900.50 = 3,180.35/x
  3. Step 3: Cross multiply
    5,259.37x = 7,900.50 × 3,180.35
  4. Step 4: Simplify right side
    5,259.37x = 25,126,386.85
  5. Step 5: Solve for x
    x = 25,126,386.85/5,259.37
  6. Step 6: Final answer
    x = 4,777.45

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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.