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Finding the Fourth Proportional to 4,310.57, 6,465.72 and 1,190.76

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Solution

The fourth proportional to 4,310.57, 6,465.72 and 1,190.76 is: 1,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.57 : 6,465.72 = 1,190.76 : x
  2. Step 2: Convert to fraction form
    4,310.57/6,465.72 = 1,190.76/x
  3. Step 3: Cross multiply
    4,310.57x = 6,465.72 × 1,190.76
  4. Step 4: Simplify right side
    4,310.57x = 7,699,138.17
  5. Step 5: Solve for x
    x = 7,699,138.17/4,310.57
  6. Step 6: Final answer
    x = 1,786.11

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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.