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Finding the Fourth Proportional to 5,190.60, 7,785.93 and 1,295.01

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Solution

The fourth proportional to 5,190.60, 7,785.93 and 1,295.01 is: 1,942.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.60 : 7,785.93 = 1,295.01 : x
  2. Step 2: Convert to fraction form
    5,190.60/7,785.93 = 1,295.01/x
  3. Step 3: Cross multiply
    5,190.60x = 7,785.93 × 1,295.01
  4. Step 4: Simplify right side
    5,190.60x = 10,082,857.21
  5. Step 5: Solve for x
    x = 10,082,857.21/5,190.60
  6. Step 6: Final answer
    x = 1,942.52

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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.