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Finding the Fourth Proportional to 5,176.98, 7,768.26 and 4,805.10

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Solution

The fourth proportional to 5,176.98, 7,768.26 and 4,805.10 is: 7,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.98 : 7,768.26 = 4,805.10 : x
  2. Step 2: Convert to fraction form
    5,176.98/7,768.26 = 4,805.10/x
  3. Step 3: Cross multiply
    5,176.98x = 7,768.26 × 4,805.10
  4. Step 4: Simplify right side
    5,176.98x = 37,327,266.13
  5. Step 5: Solve for x
    x = 37,327,266.13/5,176.98
  6. Step 6: Final answer
    x = 7,210.24

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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.