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Finding the Fourth Proportional to 4,668.68, 6,442.77 and 2,572.80

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Solution

The fourth proportional to 4,668.68, 6,442.77 and 2,572.80 is: 3,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.68 : 6,442.77 = 2,572.80 : x
  2. Step 2: Convert to fraction form
    4,668.68/6,442.77 = 2,572.80/x
  3. Step 3: Cross multiply
    4,668.68x = 6,442.77 × 2,572.80
  4. Step 4: Simplify right side
    4,668.68x = 16,575,958.66
  5. Step 5: Solve for x
    x = 16,575,958.66/4,668.68
  6. Step 6: Final answer
    x = 3,550.46

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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.