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Finding the Fourth Proportional to 4,109.79, 5,670.14 and 2,341.02

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Solution

The fourth proportional to 4,109.79, 5,670.14 and 2,341.02 is: 3,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.79 : 5,670.14 = 2,341.02 : x
  2. Step 2: Convert to fraction form
    4,109.79/5,670.14 = 2,341.02/x
  3. Step 3: Cross multiply
    4,109.79x = 5,670.14 × 2,341.02
  4. Step 4: Simplify right side
    4,109.79x = 13,273,899.44
  5. Step 5: Solve for x
    x = 13,273,899.44/4,109.79
  6. Step 6: Final answer
    x = 3,229.82

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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.