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Finding the Fourth Proportional to 4,342.64, 5,993.61 and 2,575.22

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Solution

The fourth proportional to 4,342.64, 5,993.61 and 2,575.22 is: 3,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.64 : 5,993.61 = 2,575.22 : x
  2. Step 2: Convert to fraction form
    4,342.64/5,993.61 = 2,575.22/x
  3. Step 3: Cross multiply
    4,342.64x = 5,993.61 × 2,575.22
  4. Step 4: Simplify right side
    4,342.64x = 15,434,864.34
  5. Step 5: Solve for x
    x = 15,434,864.34/4,342.64
  6. Step 6: Final answer
    x = 3,554.26

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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.