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Finding the Fourth Proportional to 4,109.76, 5,672.04 and 2,341.54

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Solution

The fourth proportional to 4,109.76, 5,672.04 and 2,341.54 is: 3,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.76 : 5,672.04 = 2,341.54 : x
  2. Step 2: Convert to fraction form
    4,109.76/5,672.04 = 2,341.54/x
  3. Step 3: Cross multiply
    4,109.76x = 5,672.04 × 2,341.54
  4. Step 4: Simplify right side
    4,109.76x = 13,281,308.54
  5. Step 5: Solve for x
    x = 13,281,308.54/4,109.76
  6. Step 6: Final answer
    x = 3,231.65

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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.