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Finding the Fourth Proportional to 5,259.68, 7,900.98 and 3,180.66

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Solution

The fourth proportional to 5,259.68, 7,900.98 and 3,180.66 is: 4,777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.68 : 7,900.98 = 3,180.66 : x
  2. Step 2: Convert to fraction form
    5,259.68/7,900.98 = 3,180.66/x
  3. Step 3: Cross multiply
    5,259.68x = 7,900.98 × 3,180.66
  4. Step 4: Simplify right side
    5,259.68x = 25,130,331.05
  5. Step 5: Solve for x
    x = 25,130,331.05/5,259.68
  6. Step 6: Final answer
    x = 4,777.92

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