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Finding the Fourth Proportional to 4,405.85, 6,082.02 and 2,814.59

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Solution

The fourth proportional to 4,405.85, 6,082.02 and 2,814.59 is: 3,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405.85 : 6,082.02 = 2,814.59 : x
  2. Step 2: Convert to fraction form
    4,405.85/6,082.02 = 2,814.59/x
  3. Step 3: Cross multiply
    4,405.85x = 6,082.02 × 2,814.59
  4. Step 4: Simplify right side
    4,405.85x = 17,118,362.26
  5. Step 5: Solve for x
    x = 17,118,362.26/4,405.85
  6. Step 6: Final answer
    x = 3,885.38

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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.