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Finding the Fourth Proportional to 4,135.65, 5,707.23 and 2,247.27

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Solution

The fourth proportional to 4,135.65, 5,707.23 and 2,247.27 is: 3,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.65 : 5,707.23 = 2,247.27 : x
  2. Step 2: Convert to fraction form
    4,135.65/5,707.23 = 2,247.27/x
  3. Step 3: Cross multiply
    4,135.65x = 5,707.23 × 2,247.27
  4. Step 4: Simplify right side
    4,135.65x = 12,825,686.76
  5. Step 5: Solve for x
    x = 12,825,686.76/4,135.65
  6. Step 6: Final answer
    x = 3,101.25

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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.