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Finding the Fourth Proportional to 3,705.35, 5,113.46 and 2,026.84

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Solution

The fourth proportional to 3,705.35, 5,113.46 and 2,026.84 is: 2,797.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.35 : 5,113.46 = 2,026.84 : x
  2. Step 2: Convert to fraction form
    3,705.35/5,113.46 = 2,026.84/x
  3. Step 3: Cross multiply
    3,705.35x = 5,113.46 × 2,026.84
  4. Step 4: Simplify right side
    3,705.35x = 10,364,165.27
  5. Step 5: Solve for x
    x = 10,364,165.27/3,705.35
  6. Step 6: Final answer
    x = 2,797.08

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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.