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Finding the Fourth Proportional to 4,436.54, 6,650.46 and 1,662.50

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Solution

The fourth proportional to 4,436.54, 6,650.46 and 1,662.50 is: 2,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,436.54 : 6,650.46 = 1,662.50 : x
  2. Step 2: Convert to fraction form
    4,436.54/6,650.46 = 1,662.50/x
  3. Step 3: Cross multiply
    4,436.54x = 6,650.46 × 1,662.50
  4. Step 4: Simplify right side
    4,436.54x = 11,056,389.75
  5. Step 5: Solve for x
    x = 11,056,389.75/4,436.54
  6. Step 6: Final answer
    x = 2,492.12

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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.