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Finding the Fourth Proportional to 5,221.16, 7,208.50 and 3,653

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Solution

The fourth proportional to 5,221.16, 7,208.50 and 3,653 is: 5,043.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.16 : 7,208.50 = 3,653 : x
  2. Step 2: Convert to fraction form
    5,221.16/7,208.50 = 3,653/x
  3. Step 3: Cross multiply
    5,221.16x = 7,208.50 × 3,653
  4. Step 4: Simplify right side
    5,221.16x = 26,332,650.50
  5. Step 5: Solve for x
    x = 26,332,650.50/5,221.16
  6. Step 6: Final answer
    x = 5,043.45

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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.