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Finding the Fourth Proportional to 5,431.86, 7,495.74 and 3,074.13

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Solution

The fourth proportional to 5,431.86, 7,495.74 and 3,074.13 is: 4,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.86 : 7,495.74 = 3,074.13 : x
  2. Step 2: Convert to fraction form
    5,431.86/7,495.74 = 3,074.13/x
  3. Step 3: Cross multiply
    5,431.86x = 7,495.74 × 3,074.13
  4. Step 4: Simplify right side
    5,431.86x = 23,042,879.21
  5. Step 5: Solve for x
    x = 23,042,879.21/5,431.86
  6. Step 6: Final answer
    x = 4,242.17

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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.