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Finding the Fourth Proportional to 4,964.60, 7,446.94 and 1,886.60

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Solution

The fourth proportional to 4,964.60, 7,446.94 and 1,886.60 is: 2,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.60 : 7,446.94 = 1,886.60 : x
  2. Step 2: Convert to fraction form
    4,964.60/7,446.94 = 1,886.60/x
  3. Step 3: Cross multiply
    4,964.60x = 7,446.94 × 1,886.60
  4. Step 4: Simplify right side
    4,964.60x = 14,049,397.00
  5. Step 5: Solve for x
    x = 14,049,397.00/4,964.60
  6. Step 6: Final answer
    x = 2,829.92

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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.