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Finding the Fourth Proportional to 5,175.25, 7,763.69 and 1,713.31

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Solution

The fourth proportional to 5,175.25, 7,763.69 and 1,713.31 is: 2,570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.25 : 7,763.69 = 1,713.31 : x
  2. Step 2: Convert to fraction form
    5,175.25/7,763.69 = 1,713.31/x
  3. Step 3: Cross multiply
    5,175.25x = 7,763.69 × 1,713.31
  4. Step 4: Simplify right side
    5,175.25x = 13,301,607.71
  5. Step 5: Solve for x
    x = 13,301,607.71/5,175.25
  6. Step 6: Final answer
    x = 2,570.23

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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.