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Finding the Fourth Proportional to 5,775.55, 7,970.79 and 3,223.75

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Solution

The fourth proportional to 5,775.55, 7,970.79 and 3,223.75 is: 4,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.55 : 7,970.79 = 3,223.75 : x
  2. Step 2: Convert to fraction form
    5,775.55/7,970.79 = 3,223.75/x
  3. Step 3: Cross multiply
    5,775.55x = 7,970.79 × 3,223.75
  4. Step 4: Simplify right side
    5,775.55x = 25,695,778.29
  5. Step 5: Solve for x
    x = 25,695,778.29/5,775.55
  6. Step 6: Final answer
    x = 4,449.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.