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Finding the Fourth Proportional to 5,034.86, 7,554.84 and 2,260.96

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Solution

The fourth proportional to 5,034.86, 7,554.84 and 2,260.96 is: 3,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.86 : 7,554.84 = 2,260.96 : x
  2. Step 2: Convert to fraction form
    5,034.86/7,554.84 = 2,260.96/x
  3. Step 3: Cross multiply
    5,034.86x = 7,554.84 × 2,260.96
  4. Step 4: Simplify right side
    5,034.86x = 17,081,225.25
  5. Step 5: Solve for x
    x = 17,081,225.25/5,034.86
  6. Step 6: Final answer
    x = 3,392.59

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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.