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Finding the Fourth Proportional to 4,487.63, 6,732.53 and 1,409.63

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Solution

The fourth proportional to 4,487.63, 6,732.53 and 1,409.63 is: 2,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.63 : 6,732.53 = 1,409.63 : x
  2. Step 2: Convert to fraction form
    4,487.63/6,732.53 = 1,409.63/x
  3. Step 3: Cross multiply
    4,487.63x = 6,732.53 × 1,409.63
  4. Step 4: Simplify right side
    4,487.63x = 9,490,335.55
  5. Step 5: Solve for x
    x = 9,490,335.55/4,487.63
  6. Step 6: Final answer
    x = 2,114.78

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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.