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Finding the Fourth Proportional to 5,698.22, 7,861.14 and 3,459.23

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Solution

The fourth proportional to 5,698.22, 7,861.14 and 3,459.23 is: 4,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.22 : 7,861.14 = 3,459.23 : x
  2. Step 2: Convert to fraction form
    5,698.22/7,861.14 = 3,459.23/x
  3. Step 3: Cross multiply
    5,698.22x = 7,861.14 × 3,459.23
  4. Step 4: Simplify right side
    5,698.22x = 27,193,491.32
  5. Step 5: Solve for x
    x = 27,193,491.32/5,698.22
  6. Step 6: Final answer
    x = 4,772.28

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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.