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Finding the Fourth Proportional to 4,186.25, 5,776.62 and 2,507.62

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Solution

The fourth proportional to 4,186.25, 5,776.62 and 2,507.62 is: 3,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.25 : 5,776.62 = 2,507.62 : x
  2. Step 2: Convert to fraction form
    4,186.25/5,776.62 = 2,507.62/x
  3. Step 3: Cross multiply
    4,186.25x = 5,776.62 × 2,507.62
  4. Step 4: Simplify right side
    4,186.25x = 14,485,555.31
  5. Step 5: Solve for x
    x = 14,485,555.31/4,186.25
  6. Step 6: Final answer
    x = 3,460.27

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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.