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Finding the Fourth Proportional to 5,212.07, 7,818.10 and 1,751.75

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Solution

The fourth proportional to 5,212.07, 7,818.10 and 1,751.75 is: 2,627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.07 : 7,818.10 = 1,751.75 : x
  2. Step 2: Convert to fraction form
    5,212.07/7,818.10 = 1,751.75/x
  3. Step 3: Cross multiply
    5,212.07x = 7,818.10 × 1,751.75
  4. Step 4: Simplify right side
    5,212.07x = 13,695,313.21
  5. Step 5: Solve for x
    x = 13,695,313.21/5,212.07
  6. Step 6: Final answer
    x = 2,627.62

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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.