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Finding the Fourth Proportional to 3,788.64, 5,228.16 and 2,738.88

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Solution

The fourth proportional to 3,788.64, 5,228.16 and 2,738.88 is: 3,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.64 : 5,228.16 = 2,738.88 : x
  2. Step 2: Convert to fraction form
    3,788.64/5,228.16 = 2,738.88/x
  3. Step 3: Cross multiply
    3,788.64x = 5,228.16 × 2,738.88
  4. Step 4: Simplify right side
    3,788.64x = 14,319,302.86
  5. Step 5: Solve for x
    x = 14,319,302.86/3,788.64
  6. Step 6: Final answer
    x = 3,779.54

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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.