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Finding the Fourth Proportional to 3,662.17, 5,492.78 and 1,029.87

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Solution

The fourth proportional to 3,662.17, 5,492.78 and 1,029.87 is: 1,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.17 : 5,492.78 = 1,029.87 : x
  2. Step 2: Convert to fraction form
    3,662.17/5,492.78 = 1,029.87/x
  3. Step 3: Cross multiply
    3,662.17x = 5,492.78 × 1,029.87
  4. Step 4: Simplify right side
    3,662.17x = 5,656,844.19
  5. Step 5: Solve for x
    x = 5,656,844.19/3,662.17
  6. Step 6: Final answer
    x = 1,544.67

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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.