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Finding the Fourth Proportional to 4,668.23, 6,440.92 and 2,779.92

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Solution

The fourth proportional to 4,668.23, 6,440.92 and 2,779.92 is: 3,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.23 : 6,440.92 = 2,779.92 : x
  2. Step 2: Convert to fraction form
    4,668.23/6,440.92 = 2,779.92/x
  3. Step 3: Cross multiply
    4,668.23x = 6,440.92 × 2,779.92
  4. Step 4: Simplify right side
    4,668.23x = 17,905,235.38
  5. Step 5: Solve for x
    x = 17,905,235.38/4,668.23
  6. Step 6: Final answer
    x = 3,835.55

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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.