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Finding the Fourth Proportional to 5,206.24, 7,180.16 and 4,072.24

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Solution

The fourth proportional to 5,206.24, 7,180.16 and 4,072.24 is: 5,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.24 : 7,180.16 = 4,072.24 : x
  2. Step 2: Convert to fraction form
    5,206.24/7,180.16 = 4,072.24/x
  3. Step 3: Cross multiply
    5,206.24x = 7,180.16 × 4,072.24
  4. Step 4: Simplify right side
    5,206.24x = 29,239,334.76
  5. Step 5: Solve for x
    x = 29,239,334.76/5,206.24
  6. Step 6: Final answer
    x = 5,616.21

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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.