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Finding the Fourth Proportional to 3,588, 4,951.64 and 2,016.19

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Solution

The fourth proportional to 3,588, 4,951.64 and 2,016.19 is: 2,782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588 : 4,951.64 = 2,016.19 : x
  2. Step 2: Convert to fraction form
    3,588/4,951.64 = 2,016.19/x
  3. Step 3: Cross multiply
    3,588x = 4,951.64 × 2,016.19
  4. Step 4: Simplify right side
    3,588x = 9,983,447.05
  5. Step 5: Solve for x
    x = 9,983,447.05/3,588
  6. Step 6: Final answer
    x = 2,782.45

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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.