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Finding the Fourth Proportional to 4,556.80, 6,835.20 and 3,980.80

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Solution

The fourth proportional to 4,556.80, 6,835.20 and 3,980.80 is: 5,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.80 : 6,835.20 = 3,980.80 : x
  2. Step 2: Convert to fraction form
    4,556.80/6,835.20 = 3,980.80/x
  3. Step 3: Cross multiply
    4,556.80x = 6,835.20 × 3,980.80
  4. Step 4: Simplify right side
    4,556.80x = 27,209,564.16
  5. Step 5: Solve for x
    x = 27,209,564.16/4,556.80
  6. Step 6: Final answer
    x = 5,971.20

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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.