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Finding the Fourth Proportional to 5,670.10, 7,826.17 and 3,782.26

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Solution

The fourth proportional to 5,670.10, 7,826.17 and 3,782.26 is: 5,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.10 : 7,826.17 = 3,782.26 : x
  2. Step 2: Convert to fraction form
    5,670.10/7,826.17 = 3,782.26/x
  3. Step 3: Cross multiply
    5,670.10x = 7,826.17 × 3,782.26
  4. Step 4: Simplify right side
    5,670.10x = 29,600,570.61
  5. Step 5: Solve for x
    x = 29,600,570.61/5,670.10
  6. Step 6: Final answer
    x = 5,220.47

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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.