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Finding the Fourth Proportional to 4,869.66, 7,304.13 and 1,946.10

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Solution

The fourth proportional to 4,869.66, 7,304.13 and 1,946.10 is: 2,919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.66 : 7,304.13 = 1,946.10 : x
  2. Step 2: Convert to fraction form
    4,869.66/7,304.13 = 1,946.10/x
  3. Step 3: Cross multiply
    4,869.66x = 7,304.13 × 1,946.10
  4. Step 4: Simplify right side
    4,869.66x = 14,214,567.39
  5. Step 5: Solve for x
    x = 14,214,567.39/4,869.66
  6. Step 6: Final answer
    x = 2,919.01

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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.