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Finding the Fourth Proportional to 4,785.97, 7,178.38 and 1,276.24

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Solution

The fourth proportional to 4,785.97, 7,178.38 and 1,276.24 is: 1,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.97 : 7,178.38 = 1,276.24 : x
  2. Step 2: Convert to fraction form
    4,785.97/7,178.38 = 1,276.24/x
  3. Step 3: Cross multiply
    4,785.97x = 7,178.38 × 1,276.24
  4. Step 4: Simplify right side
    4,785.97x = 9,161,319.34
  5. Step 5: Solve for x
    x = 9,161,319.34/4,785.97
  6. Step 6: Final answer
    x = 1,914.20

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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.