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Finding the Fourth Proportional to 5,237.99, 7,859.81 and 4,070.34

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Solution

The fourth proportional to 5,237.99, 7,859.81 and 4,070.34 is: 6,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.99 : 7,859.81 = 4,070.34 : x
  2. Step 2: Convert to fraction form
    5,237.99/7,859.81 = 4,070.34/x
  3. Step 3: Cross multiply
    5,237.99x = 7,859.81 × 4,070.34
  4. Step 4: Simplify right side
    5,237.99x = 31,992,109.21
  5. Step 5: Solve for x
    x = 31,992,109.21/5,237.99
  6. Step 6: Final answer
    x = 6,107.71

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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.