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Finding the Fourth Proportional to 3,788.40, 5,223.12 and 2,776.92

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Solution

The fourth proportional to 3,788.40, 5,223.12 and 2,776.92 is: 3,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.40 : 5,223.12 = 2,776.92 : x
  2. Step 2: Convert to fraction form
    3,788.40/5,223.12 = 2,776.92/x
  3. Step 3: Cross multiply
    3,788.40x = 5,223.12 × 2,776.92
  4. Step 4: Simplify right side
    3,788.40x = 14,504,186.39
  5. Step 5: Solve for x
    x = 14,504,186.39/3,788.40
  6. Step 6: Final answer
    x = 3,828.58

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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.