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Finding the Fourth Proportional to 4,879.60, 7,306.40 and 2,566.24

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Solution

The fourth proportional to 4,879.60, 7,306.40 and 2,566.24 is: 3,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,879.60 : 7,306.40 = 2,566.24 : x
  2. Step 2: Convert to fraction form
    4,879.60/7,306.40 = 2,566.24/x
  3. Step 3: Cross multiply
    4,879.60x = 7,306.40 × 2,566.24
  4. Step 4: Simplify right side
    4,879.60x = 18,749,975.94
  5. Step 5: Solve for x
    x = 18,749,975.94/4,879.60
  6. Step 6: Final answer
    x = 3,842.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.