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Finding the Fourth Proportional to 3,138.60, 4,707.72 and 1,190.64

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Solution

The fourth proportional to 3,138.60, 4,707.72 and 1,190.64 is: 1,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.60 : 4,707.72 = 1,190.64 : x
  2. Step 2: Convert to fraction form
    3,138.60/4,707.72 = 1,190.64/x
  3. Step 3: Cross multiply
    3,138.60x = 4,707.72 × 1,190.64
  4. Step 4: Simplify right side
    3,138.60x = 5,605,199.74
  5. Step 5: Solve for x
    x = 5,605,199.74/3,138.60
  6. Step 6: Final answer
    x = 1,785.89

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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.