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Finding the Fourth Proportional to 5,964.57, 8,946.88 and 2,068.99

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Solution

The fourth proportional to 5,964.57, 8,946.88 and 2,068.99 is: 3,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.57 : 8,946.88 = 2,068.99 : x
  2. Step 2: Convert to fraction form
    5,964.57/8,946.88 = 2,068.99/x
  3. Step 3: Cross multiply
    5,964.57x = 8,946.88 × 2,068.99
  4. Step 4: Simplify right side
    5,964.57x = 18,510,977.71
  5. Step 5: Solve for x
    x = 18,510,977.71/5,964.57
  6. Step 6: Final answer
    x = 3,103.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.