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Finding the Fourth Proportional to 4,109.76, 5,672.64 and 2,342.32

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Solution

The fourth proportional to 4,109.76, 5,672.64 and 2,342.32 is: 3,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.76 : 5,672.64 = 2,342.32 : x
  2. Step 2: Convert to fraction form
    4,109.76/5,672.64 = 2,342.32/x
  3. Step 3: Cross multiply
    4,109.76x = 5,672.64 × 2,342.32
  4. Step 4: Simplify right side
    4,109.76x = 13,287,138.12
  5. Step 5: Solve for x
    x = 13,287,138.12/4,109.76
  6. Step 6: Final answer
    x = 3,233.07

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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.