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Finding the Fourth Proportional to 3,462.39, 4,779.09 and 2,046.32

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Solution

The fourth proportional to 3,462.39, 4,779.09 and 2,046.32 is: 2,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.39 : 4,779.09 = 2,046.32 : x
  2. Step 2: Convert to fraction form
    3,462.39/4,779.09 = 2,046.32/x
  3. Step 3: Cross multiply
    3,462.39x = 4,779.09 × 2,046.32
  4. Step 4: Simplify right side
    3,462.39x = 9,779,523.55
  5. Step 5: Solve for x
    x = 9,779,523.55/3,462.39
  6. Step 6: Final answer
    x = 2,824.50

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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.