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Finding the Fourth Proportional to 5,218.60, 7,828.43 and 1,520.86

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Solution

The fourth proportional to 5,218.60, 7,828.43 and 1,520.86 is: 2,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.60 : 7,828.43 = 1,520.86 : x
  2. Step 2: Convert to fraction form
    5,218.60/7,828.43 = 1,520.86/x
  3. Step 3: Cross multiply
    5,218.60x = 7,828.43 × 1,520.86
  4. Step 4: Simplify right side
    5,218.60x = 11,905,946.05
  5. Step 5: Solve for x
    x = 11,905,946.05/5,218.60
  6. Step 6: Final answer
    x = 2,281.44

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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.