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Finding the Fourth Proportional to 4,627.53, 6,385.64 and 2,738.75

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Solution

The fourth proportional to 4,627.53, 6,385.64 and 2,738.75 is: 3,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.53 : 6,385.64 = 2,738.75 : x
  2. Step 2: Convert to fraction form
    4,627.53/6,385.64 = 2,738.75/x
  3. Step 3: Cross multiply
    4,627.53x = 6,385.64 × 2,738.75
  4. Step 4: Simplify right side
    4,627.53x = 17,488,625.93
  5. Step 5: Solve for x
    x = 17,488,625.93/4,627.53
  6. Step 6: Final answer
    x = 3,779.26

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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.