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Finding the Fourth Proportional to 3,657.44, 5,042.88 and 2,858.72

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Solution

The fourth proportional to 3,657.44, 5,042.88 and 2,858.72 is: 3,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.44 : 5,042.88 = 2,858.72 : x
  2. Step 2: Convert to fraction form
    3,657.44/5,042.88 = 2,858.72/x
  3. Step 3: Cross multiply
    3,657.44x = 5,042.88 × 2,858.72
  4. Step 4: Simplify right side
    3,657.44x = 14,416,181.91
  5. Step 5: Solve for x
    x = 14,416,181.91/3,657.44
  6. Step 6: Final answer
    x = 3,941.60

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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.