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Finding the Fourth Proportional to 5,703.96, 7,870.78 and 3,186.24

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Solution

The fourth proportional to 5,703.96, 7,870.78 and 3,186.24 is: 4,396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.96 : 7,870.78 = 3,186.24 : x
  2. Step 2: Convert to fraction form
    5,703.96/7,870.78 = 3,186.24/x
  3. Step 3: Cross multiply
    5,703.96x = 7,870.78 × 3,186.24
  4. Step 4: Simplify right side
    5,703.96x = 25,078,194.07
  5. Step 5: Solve for x
    x = 25,078,194.07/5,703.96
  6. Step 6: Final answer
    x = 4,396.63

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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.