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Finding the Fourth Proportional to 4,276.85, 5,900.42 and 2,597.63

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Solution

The fourth proportional to 4,276.85, 5,900.42 and 2,597.63 is: 3,583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.85 : 5,900.42 = 2,597.63 : x
  2. Step 2: Convert to fraction form
    4,276.85/5,900.42 = 2,597.63/x
  3. Step 3: Cross multiply
    4,276.85x = 5,900.42 × 2,597.63
  4. Step 4: Simplify right side
    4,276.85x = 15,327,065.51
  5. Step 5: Solve for x
    x = 15,327,065.51/4,276.85
  6. Step 6: Final answer
    x = 3,583.73

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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.