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Finding the Fourth Proportional to 3,962, 5,462.59 and 2,543.18

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Solution

The fourth proportional to 3,962, 5,462.59 and 2,543.18 is: 3,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962 : 5,462.59 = 2,543.18 : x
  2. Step 2: Convert to fraction form
    3,962/5,462.59 = 2,543.18/x
  3. Step 3: Cross multiply
    3,962x = 5,462.59 × 2,543.18
  4. Step 4: Simplify right side
    3,962x = 13,892,349.64
  5. Step 5: Solve for x
    x = 13,892,349.64/3,962
  6. Step 6: Final answer
    x = 3,506.40

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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.