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Finding the Fourth Proportional to 4,662.29, 6,991.99 and 1,541.60

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Solution

The fourth proportional to 4,662.29, 6,991.99 and 1,541.60 is: 2,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.29 : 6,991.99 = 1,541.60 : x
  2. Step 2: Convert to fraction form
    4,662.29/6,991.99 = 1,541.60/x
  3. Step 3: Cross multiply
    4,662.29x = 6,991.99 × 1,541.60
  4. Step 4: Simplify right side
    4,662.29x = 10,778,839.19
  5. Step 5: Solve for x
    x = 10,778,839.19/4,662.29
  6. Step 6: Final answer
    x = 2,311.92

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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.