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Finding the Fourth Proportional to 6,189.48, 8,535.78 and 5,742.36

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Solution

The fourth proportional to 6,189.48, 8,535.78 and 5,742.36 is: 7,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.48 : 8,535.78 = 5,742.36 : x
  2. Step 2: Convert to fraction form
    6,189.48/8,535.78 = 5,742.36/x
  3. Step 3: Cross multiply
    6,189.48x = 8,535.78 × 5,742.36
  4. Step 4: Simplify right side
    6,189.48x = 49,015,521.64
  5. Step 5: Solve for x
    x = 49,015,521.64/6,189.48
  6. Step 6: Final answer
    x = 7,919.17

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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.