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Finding the Fourth Proportional to 5,013.72, 6,919.29 and 3,024.16

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Solution

The fourth proportional to 5,013.72, 6,919.29 and 3,024.16 is: 4,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013.72 : 6,919.29 = 3,024.16 : x
  2. Step 2: Convert to fraction form
    5,013.72/6,919.29 = 3,024.16/x
  3. Step 3: Cross multiply
    5,013.72x = 6,919.29 × 3,024.16
  4. Step 4: Simplify right side
    5,013.72x = 20,925,040.05
  5. Step 5: Solve for x
    x = 20,925,040.05/5,013.72
  6. Step 6: Final answer
    x = 4,173.56

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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.