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Finding the Fourth Proportional to 5,729.90, 8,595.74 and 2,443

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Solution

The fourth proportional to 5,729.90, 8,595.74 and 2,443 is: 3,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.90 : 8,595.74 = 2,443 : x
  2. Step 2: Convert to fraction form
    5,729.90/8,595.74 = 2,443/x
  3. Step 3: Cross multiply
    5,729.90x = 8,595.74 × 2,443
  4. Step 4: Simplify right side
    5,729.90x = 20,999,392.82
  5. Step 5: Solve for x
    x = 20,999,392.82/5,729.90
  6. Step 6: Final answer
    x = 3,664.88

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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.