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Finding the Fourth Proportional to 5,212.63, 7,816.97 and 1,701.80

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Solution

The fourth proportional to 5,212.63, 7,816.97 and 1,701.80 is: 2,552.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.63 : 7,816.97 = 1,701.80 : x
  2. Step 2: Convert to fraction form
    5,212.63/7,816.97 = 1,701.80/x
  3. Step 3: Cross multiply
    5,212.63x = 7,816.97 × 1,701.80
  4. Step 4: Simplify right side
    5,212.63x = 13,302,943.34
  5. Step 5: Solve for x
    x = 13,302,943.34/5,212.63
  6. Step 6: Final answer
    x = 2,552.06

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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.