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Finding the Fourth Proportional to 3,825.70, 5,277.50 and 2,551.77

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Solution

The fourth proportional to 3,825.70, 5,277.50 and 2,551.77 is: 3,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.70 : 5,277.50 = 2,551.77 : x
  2. Step 2: Convert to fraction form
    3,825.70/5,277.50 = 2,551.77/x
  3. Step 3: Cross multiply
    3,825.70x = 5,277.50 × 2,551.77
  4. Step 4: Simplify right side
    3,825.70x = 13,466,962.99
  5. Step 5: Solve for x
    x = 13,466,962.99/3,825.70
  6. Step 6: Final answer
    x = 3,520.13

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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.