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Finding the Fourth Proportional to 5,117.37, 7,674.17 and 4,023.87

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Solution

The fourth proportional to 5,117.37, 7,674.17 and 4,023.87 is: 6,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.37 : 7,674.17 = 4,023.87 : x
  2. Step 2: Convert to fraction form
    5,117.37/7,674.17 = 4,023.87/x
  3. Step 3: Cross multiply
    5,117.37x = 7,674.17 × 4,023.87
  4. Step 4: Simplify right side
    5,117.37x = 30,879,842.32
  5. Step 5: Solve for x
    x = 30,879,842.32/5,117.37
  6. Step 6: Final answer
    x = 6,034.32

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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.