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Finding the Fourth Proportional to 5,722.36, 8,589.66 and 5,068.30

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Solution

The fourth proportional to 5,722.36, 8,589.66 and 5,068.30 is: 7,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.36 : 8,589.66 = 5,068.30 : x
  2. Step 2: Convert to fraction form
    5,722.36/8,589.66 = 5,068.30/x
  3. Step 3: Cross multiply
    5,722.36x = 8,589.66 × 5,068.30
  4. Step 4: Simplify right side
    5,722.36x = 43,534,973.78
  5. Step 5: Solve for x
    x = 43,534,973.78/5,722.36
  6. Step 6: Final answer
    x = 7,607.87

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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.