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Finding the Fourth Proportional to 4,208.76, 5,805.54 and 2,714.32

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Solution

The fourth proportional to 4,208.76, 5,805.54 and 2,714.32 is: 3,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.76 : 5,805.54 = 2,714.32 : x
  2. Step 2: Convert to fraction form
    4,208.76/5,805.54 = 2,714.32/x
  3. Step 3: Cross multiply
    4,208.76x = 5,805.54 × 2,714.32
  4. Step 4: Simplify right side
    4,208.76x = 15,758,093.33
  5. Step 5: Solve for x
    x = 15,758,093.33/4,208.76
  6. Step 6: Final answer
    x = 3,744.12

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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.