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Finding the Fourth Proportional to 5,175.56, 7,765.63 and 1,712.81

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Solution

The fourth proportional to 5,175.56, 7,765.63 and 1,712.81 is: 2,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.56 : 7,765.63 = 1,712.81 : x
  2. Step 2: Convert to fraction form
    5,175.56/7,765.63 = 1,712.81/x
  3. Step 3: Cross multiply
    5,175.56x = 7,765.63 × 1,712.81
  4. Step 4: Simplify right side
    5,175.56x = 13,301,048.72
  5. Step 5: Solve for x
    x = 13,301,048.72/5,175.56
  6. Step 6: Final answer
    x = 2,569.97

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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.