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Finding the Fourth Proportional to 3,705.34, 5,113.18 and 2,026.42

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Solution

The fourth proportional to 3,705.34, 5,113.18 and 2,026.42 is: 2,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.34 : 5,113.18 = 2,026.42 : x
  2. Step 2: Convert to fraction form
    3,705.34/5,113.18 = 2,026.42/x
  3. Step 3: Cross multiply
    3,705.34x = 5,113.18 × 2,026.42
  4. Step 4: Simplify right side
    3,705.34x = 10,361,432.37
  5. Step 5: Solve for x
    x = 10,361,432.37/3,705.34
  6. Step 6: Final answer
    x = 2,796.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.