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Finding the Fourth Proportional to 5,642.11, 7,786.01 and 3,124.16

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Solution

The fourth proportional to 5,642.11, 7,786.01 and 3,124.16 is: 4,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.11 : 7,786.01 = 3,124.16 : x
  2. Step 2: Convert to fraction form
    5,642.11/7,786.01 = 3,124.16/x
  3. Step 3: Cross multiply
    5,642.11x = 7,786.01 × 3,124.16
  4. Step 4: Simplify right side
    5,642.11x = 24,324,741.00
  5. Step 5: Solve for x
    x = 24,324,741.00/5,642.11
  6. Step 6: Final answer
    x = 4,311.28

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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.