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Finding the Fourth Proportional to 4,134.98, 5,707.78 and 2,738.18

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Solution

The fourth proportional to 4,134.98, 5,707.78 and 2,738.18 is: 3,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.98 : 5,707.78 = 2,738.18 : x
  2. Step 2: Convert to fraction form
    4,134.98/5,707.78 = 2,738.18/x
  3. Step 3: Cross multiply
    4,134.98x = 5,707.78 × 2,738.18
  4. Step 4: Simplify right side
    4,134.98x = 15,628,929.04
  5. Step 5: Solve for x
    x = 15,628,929.04/4,134.98
  6. Step 6: Final answer
    x = 3,779.69

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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.