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Finding the Fourth Proportional to 5,220.56, 7,829.20 and 1,757

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Solution

The fourth proportional to 5,220.56, 7,829.20 and 1,757 is: 2,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.56 : 7,829.20 = 1,757 : x
  2. Step 2: Convert to fraction form
    5,220.56/7,829.20 = 1,757/x
  3. Step 3: Cross multiply
    5,220.56x = 7,829.20 × 1,757
  4. Step 4: Simplify right side
    5,220.56x = 13,755,904.40
  5. Step 5: Solve for x
    x = 13,755,904.40/5,220.56
  6. Step 6: Final answer
    x = 2,634.95

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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.