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Finding the Fourth Proportional to 5,834.54, 8,748.96 and 1,937.63

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Solution

The fourth proportional to 5,834.54, 8,748.96 and 1,937.63 is: 2,905.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.54 : 8,748.96 = 1,937.63 : x
  2. Step 2: Convert to fraction form
    5,834.54/8,748.96 = 1,937.63/x
  3. Step 3: Cross multiply
    5,834.54x = 8,748.96 × 1,937.63
  4. Step 4: Simplify right side
    5,834.54x = 16,952,203.62
  5. Step 5: Solve for x
    x = 16,952,203.62/5,834.54
  6. Step 6: Final answer
    x = 2,905.49

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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.