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Finding the Fourth Proportional to 4,164.53, 5,741.09 and 2,570.11

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Solution

The fourth proportional to 4,164.53, 5,741.09 and 2,570.11 is: 3,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.53 : 5,741.09 = 2,570.11 : x
  2. Step 2: Convert to fraction form
    4,164.53/5,741.09 = 2,570.11/x
  3. Step 3: Cross multiply
    4,164.53x = 5,741.09 × 2,570.11
  4. Step 4: Simplify right side
    4,164.53x = 14,755,232.82
  5. Step 5: Solve for x
    x = 14,755,232.82/4,164.53
  6. Step 6: Final answer
    x = 3,543.07

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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.