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Finding the Fourth Proportional to 5,796.78, 8,000.80 and 4,535.34

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Solution

The fourth proportional to 5,796.78, 8,000.80 and 4,535.34 is: 6,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.78 : 8,000.80 = 4,535.34 : x
  2. Step 2: Convert to fraction form
    5,796.78/8,000.80 = 4,535.34/x
  3. Step 3: Cross multiply
    5,796.78x = 8,000.80 × 4,535.34
  4. Step 4: Simplify right side
    5,796.78x = 36,286,348.27
  5. Step 5: Solve for x
    x = 36,286,348.27/5,796.78
  6. Step 6: Final answer
    x = 6,259.74

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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.