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Finding the Fourth Proportional to 3,630.48, 5,014.56 and 2,634.16

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Solution

The fourth proportional to 3,630.48, 5,014.56 and 2,634.16 is: 3,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.48 : 5,014.56 = 2,634.16 : x
  2. Step 2: Convert to fraction form
    3,630.48/5,014.56 = 2,634.16/x
  3. Step 3: Cross multiply
    3,630.48x = 5,014.56 × 2,634.16
  4. Step 4: Simplify right side
    3,630.48x = 13,209,153.37
  5. Step 5: Solve for x
    x = 13,209,153.37/3,630.48
  6. Step 6: Final answer
    x = 3,638.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.