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Finding the Fourth Proportional to 5,175.16, 7,764.54 and 1,712.68

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Solution

The fourth proportional to 5,175.16, 7,764.54 and 1,712.68 is: 2,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.16 : 7,764.54 = 1,712.68 : x
  2. Step 2: Convert to fraction form
    5,175.16/7,764.54 = 1,712.68/x
  3. Step 3: Cross multiply
    5,175.16x = 7,764.54 × 1,712.68
  4. Step 4: Simplify right side
    5,175.16x = 13,298,172.37
  5. Step 5: Solve for x
    x = 13,298,172.37/5,175.16
  6. Step 6: Final answer
    x = 2,569.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.