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Finding the Fourth Proportional to 4,115.76, 5,678.01 and 2,523.03

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Solution

The fourth proportional to 4,115.76, 5,678.01 and 2,523.03 is: 3,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.76 : 5,678.01 = 2,523.03 : x
  2. Step 2: Convert to fraction form
    4,115.76/5,678.01 = 2,523.03/x
  3. Step 3: Cross multiply
    4,115.76x = 5,678.01 × 2,523.03
  4. Step 4: Simplify right side
    4,115.76x = 14,325,789.57
  5. Step 5: Solve for x
    x = 14,325,789.57/4,115.76
  6. Step 6: Final answer
    x = 3,480.72

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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.