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Finding the Fourth Proportional to 4,128.80, 5,698.84 and 2,556

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Solution

The fourth proportional to 4,128.80, 5,698.84 and 2,556 is: 3,527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.80 : 5,698.84 = 2,556 : x
  2. Step 2: Convert to fraction form
    4,128.80/5,698.84 = 2,556/x
  3. Step 3: Cross multiply
    4,128.80x = 5,698.84 × 2,556
  4. Step 4: Simplify right side
    4,128.80x = 14,566,235.04
  5. Step 5: Solve for x
    x = 14,566,235.04/4,128.80
  6. Step 6: Final answer
    x = 3,527.96

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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.