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Finding the Fourth Proportional to 5,796.50, 8,000.55 and 3,407.00

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Solution

The fourth proportional to 5,796.50, 8,000.55 and 3,407.00 is: 4,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.50 : 8,000.55 = 3,407.00 : x
  2. Step 2: Convert to fraction form
    5,796.50/8,000.55 = 3,407.00/x
  3. Step 3: Cross multiply
    5,796.50x = 8,000.55 × 3,407.00
  4. Step 4: Simplify right side
    5,796.50x = 27,257,833.85
  5. Step 5: Solve for x
    x = 27,257,833.85/5,796.50
  6. Step 6: Final answer
    x = 4,702.47

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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.