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Finding the Fourth Proportional to 5,852.57, 8,765.87 and 4,204.17

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Solution

The fourth proportional to 5,852.57, 8,765.87 and 4,204.17 is: 6,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.57 : 8,765.87 = 4,204.17 : x
  2. Step 2: Convert to fraction form
    5,852.57/8,765.87 = 4,204.17/x
  3. Step 3: Cross multiply
    5,852.57x = 8,765.87 × 4,204.17
  4. Step 4: Simplify right side
    5,852.57x = 36,853,186.66
  5. Step 5: Solve for x
    x = 36,853,186.66/5,852.57
  6. Step 6: Final answer
    x = 6,296.93

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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.