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Finding the Fourth Proportional to 3,126.34, 4,313.62 and 1,867.14

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Solution

The fourth proportional to 3,126.34, 4,313.62 and 1,867.14 is: 2,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.34 : 4,313.62 = 1,867.14 : x
  2. Step 2: Convert to fraction form
    3,126.34/4,313.62 = 1,867.14/x
  3. Step 3: Cross multiply
    3,126.34x = 4,313.62 × 1,867.14
  4. Step 4: Simplify right side
    3,126.34x = 8,054,132.45
  5. Step 5: Solve for x
    x = 8,054,132.45/3,126.34
  6. Step 6: Final answer
    x = 2,576.22

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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.