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Finding the Fourth Proportional to 4,255.74, 5,873.06 and 2,577.46

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Solution

The fourth proportional to 4,255.74, 5,873.06 and 2,577.46 is: 3,556.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.74 : 5,873.06 = 2,577.46 : x
  2. Step 2: Convert to fraction form
    4,255.74/5,873.06 = 2,577.46/x
  3. Step 3: Cross multiply
    4,255.74x = 5,873.06 × 2,577.46
  4. Step 4: Simplify right side
    4,255.74x = 15,137,577.23
  5. Step 5: Solve for x
    x = 15,137,577.23/4,255.74
  6. Step 6: Final answer
    x = 3,556.98

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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.