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Finding the Fourth Proportional to 5,642.06, 7,786.16 and 3,124.11

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Solution

The fourth proportional to 5,642.06, 7,786.16 and 3,124.11 is: 4,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.06 : 7,786.16 = 3,124.11 : x
  2. Step 2: Convert to fraction form
    5,642.06/7,786.16 = 3,124.11/x
  3. Step 3: Cross multiply
    5,642.06x = 7,786.16 × 3,124.11
  4. Step 4: Simplify right side
    5,642.06x = 24,324,804.70
  5. Step 5: Solve for x
    x = 24,324,804.70/5,642.06
  6. Step 6: Final answer
    x = 4,311.34

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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.