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Finding the Fourth Proportional to 4,805.76, 7,183.23 and 4,176.12

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Solution

The fourth proportional to 4,805.76, 7,183.23 and 4,176.12 is: 6,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.76 : 7,183.23 = 4,176.12 : x
  2. Step 2: Convert to fraction form
    4,805.76/7,183.23 = 4,176.12/x
  3. Step 3: Cross multiply
    4,805.76x = 7,183.23 × 4,176.12
  4. Step 4: Simplify right side
    4,805.76x = 29,998,030.47
  5. Step 5: Solve for x
    x = 29,998,030.47/4,805.76
  6. Step 6: Final answer
    x = 6,242.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.