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Finding the Fourth Proportional to 3,004.62, 4,141.71 and 2,946.30

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Solution

The fourth proportional to 3,004.62, 4,141.71 and 2,946.30 is: 4,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.62 : 4,141.71 = 2,946.30 : x
  2. Step 2: Convert to fraction form
    3,004.62/4,141.71 = 2,946.30/x
  3. Step 3: Cross multiply
    3,004.62x = 4,141.71 × 2,946.30
  4. Step 4: Simplify right side
    3,004.62x = 12,202,720.17
  5. Step 5: Solve for x
    x = 12,202,720.17/3,004.62
  6. Step 6: Final answer
    x = 4,061.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.