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Finding the Fourth Proportional to 5,190.60, 7,785.15 and 1,680.15

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Solution

The fourth proportional to 5,190.60, 7,785.15 and 1,680.15 is: 2,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.60 : 7,785.15 = 1,680.15 : x
  2. Step 2: Convert to fraction form
    5,190.60/7,785.15 = 1,680.15/x
  3. Step 3: Cross multiply
    5,190.60x = 7,785.15 × 1,680.15
  4. Step 4: Simplify right side
    5,190.60x = 13,080,219.77
  5. Step 5: Solve for x
    x = 13,080,219.77/5,190.60
  6. Step 6: Final answer
    x = 2,519.98

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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.