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Finding the Fourth Proportional to 5,684.39, 8,528.26 and 2,913

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Solution

The fourth proportional to 5,684.39, 8,528.26 and 2,913 is: 4,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.39 : 8,528.26 = 2,913 : x
  2. Step 2: Convert to fraction form
    5,684.39/8,528.26 = 2,913/x
  3. Step 3: Cross multiply
    5,684.39x = 8,528.26 × 2,913
  4. Step 4: Simplify right side
    5,684.39x = 24,842,821.38
  5. Step 5: Solve for x
    x = 24,842,821.38/5,684.39
  6. Step 6: Final answer
    x = 4,370.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.