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Finding the Fourth Proportional to 5,176.38, 7,763.94 and 1,713.54

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Solution

The fourth proportional to 5,176.38, 7,763.94 and 1,713.54 is: 2,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.38 : 7,763.94 = 1,713.54 : x
  2. Step 2: Convert to fraction form
    5,176.38/7,763.94 = 1,713.54/x
  3. Step 3: Cross multiply
    5,176.38x = 7,763.94 × 1,713.54
  4. Step 4: Simplify right side
    5,176.38x = 13,303,821.75
  5. Step 5: Solve for x
    x = 13,303,821.75/5,176.38
  6. Step 6: Final answer
    x = 2,570.10

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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.