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Finding the Fourth Proportional to 4,709.22, 7,064.01 and 1,589.28

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Solution

The fourth proportional to 4,709.22, 7,064.01 and 1,589.28 is: 2,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.22 : 7,064.01 = 1,589.28 : x
  2. Step 2: Convert to fraction form
    4,709.22/7,064.01 = 1,589.28/x
  3. Step 3: Cross multiply
    4,709.22x = 7,064.01 × 1,589.28
  4. Step 4: Simplify right side
    4,709.22x = 11,226,689.81
  5. Step 5: Solve for x
    x = 11,226,689.81/4,709.22
  6. Step 6: Final answer
    x = 2,383.98

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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.