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Finding the Fourth Proportional to 4,866.04, 7,304.52 and 1,946.40

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Solution

The fourth proportional to 4,866.04, 7,304.52 and 1,946.40 is: 2,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.04 : 7,304.52 = 1,946.40 : x
  2. Step 2: Convert to fraction form
    4,866.04/7,304.52 = 1,946.40/x
  3. Step 3: Cross multiply
    4,866.04x = 7,304.52 × 1,946.40
  4. Step 4: Simplify right side
    4,866.04x = 14,217,517.73
  5. Step 5: Solve for x
    x = 14,217,517.73/4,866.04
  6. Step 6: Final answer
    x = 2,921.78

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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.