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Finding the Fourth Proportional to 2,556.52, 3,836.20 and 1,386.52

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Solution

The fourth proportional to 2,556.52, 3,836.20 and 1,386.52 is: 2,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.52 : 3,836.20 = 1,386.52 : x
  2. Step 2: Convert to fraction form
    2,556.52/3,836.20 = 1,386.52/x
  3. Step 3: Cross multiply
    2,556.52x = 3,836.20 × 1,386.52
  4. Step 4: Simplify right side
    2,556.52x = 5,318,968.02
  5. Step 5: Solve for x
    x = 5,318,968.02/2,556.52
  6. Step 6: Final answer
    x = 2,080.55

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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.