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Finding the Fourth Proportional to 5,833.20, 8,749.80 and 1,937.10

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Solution

The fourth proportional to 5,833.20, 8,749.80 and 1,937.10 is: 2,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.20 : 8,749.80 = 1,937.10 : x
  2. Step 2: Convert to fraction form
    5,833.20/8,749.80 = 1,937.10/x
  3. Step 3: Cross multiply
    5,833.20x = 8,749.80 × 1,937.10
  4. Step 4: Simplify right side
    5,833.20x = 16,949,237.58
  5. Step 5: Solve for x
    x = 16,949,237.58/5,833.20
  6. Step 6: Final answer
    x = 2,905.65

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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.