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Finding the Fourth Proportional to 5,695.26, 7,859.52 and 3,457.22

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Solution

The fourth proportional to 5,695.26, 7,859.52 and 3,457.22 is: 4,771.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.26 : 7,859.52 = 3,457.22 : x
  2. Step 2: Convert to fraction form
    5,695.26/7,859.52 = 3,457.22/x
  3. Step 3: Cross multiply
    5,695.26x = 7,859.52 × 3,457.22
  4. Step 4: Simplify right side
    5,695.26x = 27,172,089.73
  5. Step 5: Solve for x
    x = 27,172,089.73/5,695.26
  6. Step 6: Final answer
    x = 4,771.00

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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.