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Finding the Fourth Proportional to 3,415.77, 5,127.30 and 2,873.88

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Solution

The fourth proportional to 3,415.77, 5,127.30 and 2,873.88 is: 4,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.77 : 5,127.30 = 2,873.88 : x
  2. Step 2: Convert to fraction form
    3,415.77/5,127.30 = 2,873.88/x
  3. Step 3: Cross multiply
    3,415.77x = 5,127.30 × 2,873.88
  4. Step 4: Simplify right side
    3,415.77x = 14,735,244.92
  5. Step 5: Solve for x
    x = 14,735,244.92/3,415.77
  6. Step 6: Final answer
    x = 4,313.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.