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Finding the Fourth Proportional to 5,764.39, 7,956.50 and 3,407.90

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Solution

The fourth proportional to 5,764.39, 7,956.50 and 3,407.90 is: 4,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.39 : 7,956.50 = 3,407.90 : x
  2. Step 2: Convert to fraction form
    5,764.39/7,956.50 = 3,407.90/x
  3. Step 3: Cross multiply
    5,764.39x = 7,956.50 × 3,407.90
  4. Step 4: Simplify right side
    5,764.39x = 27,114,899.53
  5. Step 5: Solve for x
    x = 27,114,899.53/5,764.39
  6. Step 6: Final answer
    x = 4,703.86

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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.