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Finding the Fourth Proportional to 5,132.94, 7,699.92 and 1,847.31

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Solution

The fourth proportional to 5,132.94, 7,699.92 and 1,847.31 is: 2,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.94 : 7,699.92 = 1,847.31 : x
  2. Step 2: Convert to fraction form
    5,132.94/7,699.92 = 1,847.31/x
  3. Step 3: Cross multiply
    5,132.94x = 7,699.92 × 1,847.31
  4. Step 4: Simplify right side
    5,132.94x = 14,224,139.22
  5. Step 5: Solve for x
    x = 14,224,139.22/5,132.94
  6. Step 6: Final answer
    x = 2,771.15

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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.