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Finding the Fourth Proportional to 5,456.93, 7,529.25 and 3,186.98

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Solution

The fourth proportional to 5,456.93, 7,529.25 and 3,186.98 is: 4,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.93 : 7,529.25 = 3,186.98 : x
  2. Step 2: Convert to fraction form
    5,456.93/7,529.25 = 3,186.98/x
  3. Step 3: Cross multiply
    5,456.93x = 7,529.25 × 3,186.98
  4. Step 4: Simplify right side
    5,456.93x = 23,995,590.02
  5. Step 5: Solve for x
    x = 23,995,590.02/5,456.93
  6. Step 6: Final answer
    x = 4,397.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.