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Finding the Fourth Proportional to 4,741.82, 6,543.71 and 2,645.94

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Solution

The fourth proportional to 4,741.82, 6,543.71 and 2,645.94 is: 3,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.82 : 6,543.71 = 2,645.94 : x
  2. Step 2: Convert to fraction form
    4,741.82/6,543.71 = 2,645.94/x
  3. Step 3: Cross multiply
    4,741.82x = 6,543.71 × 2,645.94
  4. Step 4: Simplify right side
    4,741.82x = 17,314,250.81
  5. Step 5: Solve for x
    x = 17,314,250.81/4,741.82
  6. Step 6: Final answer
    x = 3,651.40

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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.