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Finding the Fourth Proportional to 5,799.36, 8,000.46 and 3,440.64

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Solution

The fourth proportional to 5,799.36, 8,000.46 and 3,440.64 is: 4,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.36 : 8,000.46 = 3,440.64 : x
  2. Step 2: Convert to fraction form
    5,799.36/8,000.46 = 3,440.64/x
  3. Step 3: Cross multiply
    5,799.36x = 8,000.46 × 3,440.64
  4. Step 4: Simplify right side
    5,799.36x = 27,526,702.69
  5. Step 5: Solve for x
    x = 27,526,702.69/5,799.36
  6. Step 6: Final answer
    x = 4,746.51

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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.