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Finding the Fourth Proportional to 3,931.82, 5,898.11 and 1,466.06

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Solution

The fourth proportional to 3,931.82, 5,898.11 and 1,466.06 is: 2,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.82 : 5,898.11 = 1,466.06 : x
  2. Step 2: Convert to fraction form
    3,931.82/5,898.11 = 1,466.06/x
  3. Step 3: Cross multiply
    3,931.82x = 5,898.11 × 1,466.06
  4. Step 4: Simplify right side
    3,931.82x = 8,646,983.15
  5. Step 5: Solve for x
    x = 8,646,983.15/3,931.82
  6. Step 6: Final answer
    x = 2,199.23

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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.