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Finding the Fourth Proportional to 5,498.30, 8,235.30 and 4,261.70

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Solution

The fourth proportional to 5,498.30, 8,235.30 and 4,261.70 is: 6,383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.30 : 8,235.30 = 4,261.70 : x
  2. Step 2: Convert to fraction form
    5,498.30/8,235.30 = 4,261.70/x
  3. Step 3: Cross multiply
    5,498.30x = 8,235.30 × 4,261.70
  4. Step 4: Simplify right side
    5,498.30x = 35,096,378.01
  5. Step 5: Solve for x
    x = 35,096,378.01/5,498.30
  6. Step 6: Final answer
    x = 6,383.13

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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.