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Finding the Fourth Proportional to 4,668.50, 6,442.01 and 2,779.82

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Solution

The fourth proportional to 4,668.50, 6,442.01 and 2,779.82 is: 3,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.50 : 6,442.01 = 2,779.82 : x
  2. Step 2: Convert to fraction form
    4,668.50/6,442.01 = 2,779.82/x
  3. Step 3: Cross multiply
    4,668.50x = 6,442.01 × 2,779.82
  4. Step 4: Simplify right side
    4,668.50x = 17,907,616.71
  5. Step 5: Solve for x
    x = 17,907,616.71/4,668.50
  6. Step 6: Final answer
    x = 3,835.84

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