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Finding the Fourth Proportional to 5,858.88, 8,082.32 and 3,500.40

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Solution

The fourth proportional to 5,858.88, 8,082.32 and 3,500.40 is: 4,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.88 : 8,082.32 = 3,500.40 : x
  2. Step 2: Convert to fraction form
    5,858.88/8,082.32 = 3,500.40/x
  3. Step 3: Cross multiply
    5,858.88x = 8,082.32 × 3,500.40
  4. Step 4: Simplify right side
    5,858.88x = 28,291,352.93
  5. Step 5: Solve for x
    x = 28,291,352.93/5,858.88
  6. Step 6: Final answer
    x = 4,828.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.