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Finding the Fourth Proportional to 3,703.76, 5,108.34 and 2,584.34

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Solution

The fourth proportional to 3,703.76, 5,108.34 and 2,584.34 is: 3,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.76 : 5,108.34 = 2,584.34 : x
  2. Step 2: Convert to fraction form
    3,703.76/5,108.34 = 2,584.34/x
  3. Step 3: Cross multiply
    3,703.76x = 5,108.34 × 2,584.34
  4. Step 4: Simplify right side
    3,703.76x = 13,201,687.40
  5. Step 5: Solve for x
    x = 13,201,687.40/3,703.76
  6. Step 6: Final answer
    x = 3,564.40

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1.5x scale

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.