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Finding the Fourth Proportional to 5,804.11, 8,686.90 and 5,285.30

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Solution

The fourth proportional to 5,804.11, 8,686.90 and 5,285.30 is: 7,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.11 : 8,686.90 = 5,285.30 : x
  2. Step 2: Convert to fraction form
    5,804.11/8,686.90 = 5,285.30/x
  3. Step 3: Cross multiply
    5,804.11x = 8,686.90 × 5,285.30
  4. Step 4: Simplify right side
    5,804.11x = 45,912,872.57
  5. Step 5: Solve for x
    x = 45,912,872.57/5,804.11
  6. Step 6: Final answer
    x = 7,910.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.