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Finding the Fourth Proportional to 3,638.34, 5,056.47 and 3,599.46

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Solution

The fourth proportional to 3,638.34, 5,056.47 and 3,599.46 is: 5,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.34 : 5,056.47 = 3,599.46 : x
  2. Step 2: Convert to fraction form
    3,638.34/5,056.47 = 3,599.46/x
  3. Step 3: Cross multiply
    3,638.34x = 5,056.47 × 3,599.46
  4. Step 4: Simplify right side
    3,638.34x = 18,200,561.51
  5. Step 5: Solve for x
    x = 18,200,561.51/3,638.34
  6. Step 6: Final answer
    x = 5,002.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.