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Finding the Fourth Proportional to 4,186.76, 5,777.25 and 2,507.94

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Solution

The fourth proportional to 4,186.76, 5,777.25 and 2,507.94 is: 3,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.76 : 5,777.25 = 2,507.94 : x
  2. Step 2: Convert to fraction form
    4,186.76/5,777.25 = 2,507.94/x
  3. Step 3: Cross multiply
    4,186.76x = 5,777.25 × 2,507.94
  4. Step 4: Simplify right side
    4,186.76x = 14,488,965.30
  5. Step 5: Solve for x
    x = 14,488,965.30/4,186.76
  6. Step 6: Final answer
    x = 3,460.66

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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.