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Finding the Fourth Proportional to 3,854.26, 5,776.53 and 3,762.46

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Solution

The fourth proportional to 3,854.26, 5,776.53 and 3,762.46 is: 5,638.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.26 : 5,776.53 = 3,762.46 : x
  2. Step 2: Convert to fraction form
    3,854.26/5,776.53 = 3,762.46/x
  3. Step 3: Cross multiply
    3,854.26x = 5,776.53 × 3,762.46
  4. Step 4: Simplify right side
    3,854.26x = 21,733,963.06
  5. Step 5: Solve for x
    x = 21,733,963.06/3,854.26
  6. Step 6: Final answer
    x = 5,638.95

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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.