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Finding the Fourth Proportional to 5,114.60, 7,671.90 and 1,827.80

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Solution

The fourth proportional to 5,114.60, 7,671.90 and 1,827.80 is: 2,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.60 : 7,671.90 = 1,827.80 : x
  2. Step 2: Convert to fraction form
    5,114.60/7,671.90 = 1,827.80/x
  3. Step 3: Cross multiply
    5,114.60x = 7,671.90 × 1,827.80
  4. Step 4: Simplify right side
    5,114.60x = 14,022,698.82
  5. Step 5: Solve for x
    x = 14,022,698.82/5,114.60
  6. Step 6: Final answer
    x = 2,741.70

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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.