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Finding the Fourth Proportional to 4,622.64, 6,933.96 and 1,159.88

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Solution

The fourth proportional to 4,622.64, 6,933.96 and 1,159.88 is: 1,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.64 : 6,933.96 = 1,159.88 : x
  2. Step 2: Convert to fraction form
    4,622.64/6,933.96 = 1,159.88/x
  3. Step 3: Cross multiply
    4,622.64x = 6,933.96 × 1,159.88
  4. Step 4: Simplify right side
    4,622.64x = 8,042,561.52
  5. Step 5: Solve for x
    x = 8,042,561.52/4,622.64
  6. Step 6: Final answer
    x = 1,739.82

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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.