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Finding the Fourth Proportional to 4,879.38, 7,320.27 and 1,416.63

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Solution

The fourth proportional to 4,879.38, 7,320.27 and 1,416.63 is: 2,125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,879.38 : 7,320.27 = 1,416.63 : x
  2. Step 2: Convert to fraction form
    4,879.38/7,320.27 = 1,416.63/x
  3. Step 3: Cross multiply
    4,879.38x = 7,320.27 × 1,416.63
  4. Step 4: Simplify right side
    4,879.38x = 10,370,114.09
  5. Step 5: Solve for x
    x = 10,370,114.09/4,879.38
  6. Step 6: Final answer
    x = 2,125.29

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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.