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Finding the Fourth Proportional to 5,115.48, 7,674.84 and 1,828.50

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Solution

The fourth proportional to 5,115.48, 7,674.84 and 1,828.50 is: 2,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.48 : 7,674.84 = 1,828.50 : x
  2. Step 2: Convert to fraction form
    5,115.48/7,674.84 = 1,828.50/x
  3. Step 3: Cross multiply
    5,115.48x = 7,674.84 × 1,828.50
  4. Step 4: Simplify right side
    5,115.48x = 14,033,444.94
  5. Step 5: Solve for x
    x = 14,033,444.94/5,115.48
  6. Step 6: Final answer
    x = 2,743.33

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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.