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Finding the Fourth Proportional to 5,543.83, 7,646.97 and 4,214.62

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Solution

The fourth proportional to 5,543.83, 7,646.97 and 4,214.62 is: 5,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.83 : 7,646.97 = 4,214.62 : x
  2. Step 2: Convert to fraction form
    5,543.83/7,646.97 = 4,214.62/x
  3. Step 3: Cross multiply
    5,543.83x = 7,646.97 × 4,214.62
  4. Step 4: Simplify right side
    5,543.83x = 32,229,072.70
  5. Step 5: Solve for x
    x = 32,229,072.70/5,543.83
  6. Step 6: Final answer
    x = 5,813.50

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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.