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Finding the Fourth Proportional to 4,333.57, 5,980.73 and 2,565.44

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Solution

The fourth proportional to 4,333.57, 5,980.73 and 2,565.44 is: 3,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.57 : 5,980.73 = 2,565.44 : x
  2. Step 2: Convert to fraction form
    4,333.57/5,980.73 = 2,565.44/x
  3. Step 3: Cross multiply
    4,333.57x = 5,980.73 × 2,565.44
  4. Step 4: Simplify right side
    4,333.57x = 15,343,161.24
  5. Step 5: Solve for x
    x = 15,343,161.24/4,333.57
  6. Step 6: Final answer
    x = 3,540.54

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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.