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Finding the Fourth Proportional to 3,415.68, 5,134.86 and 2,803.91

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Solution

The fourth proportional to 3,415.68, 5,134.86 and 2,803.91 is: 4,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.68 : 5,134.86 = 2,803.91 : x
  2. Step 2: Convert to fraction form
    3,415.68/5,134.86 = 2,803.91/x
  3. Step 3: Cross multiply
    3,415.68x = 5,134.86 × 2,803.91
  4. Step 4: Simplify right side
    3,415.68x = 14,397,659.63
  5. Step 5: Solve for x
    x = 14,397,659.63/3,415.68
  6. Step 6: Final answer
    x = 4,215.17

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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.