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Finding the Fourth Proportional to 5,835.60, 8,739.78 and 4,082.40

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Solution

The fourth proportional to 5,835.60, 8,739.78 and 4,082.40 is: 6,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.60 : 8,739.78 = 4,082.40 : x
  2. Step 2: Convert to fraction form
    5,835.60/8,739.78 = 4,082.40/x
  3. Step 3: Cross multiply
    5,835.60x = 8,739.78 × 4,082.40
  4. Step 4: Simplify right side
    5,835.60x = 35,679,277.87
  5. Step 5: Solve for x
    x = 35,679,277.87/5,835.60
  6. Step 6: Final answer
    x = 6,114.07

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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.