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Finding the Fourth Proportional to 4,623.64, 6,935.46 and 1,160.88

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Solution

The fourth proportional to 4,623.64, 6,935.46 and 1,160.88 is: 1,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,623.64 : 6,935.46 = 1,160.88 : x
  2. Step 2: Convert to fraction form
    4,623.64/6,935.46 = 1,160.88/x
  3. Step 3: Cross multiply
    4,623.64x = 6,935.46 × 1,160.88
  4. Step 4: Simplify right side
    4,623.64x = 8,051,236.80
  5. Step 5: Solve for x
    x = 8,051,236.80/4,623.64
  6. Step 6: Final answer
    x = 1,741.32

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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.