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Finding the Fourth Proportional to 3,404.64, 5,102.16 and 2,708.22

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Solution

The fourth proportional to 3,404.64, 5,102.16 and 2,708.22 is: 4,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.64 : 5,102.16 = 2,708.22 : x
  2. Step 2: Convert to fraction form
    3,404.64/5,102.16 = 2,708.22/x
  3. Step 3: Cross multiply
    3,404.64x = 5,102.16 × 2,708.22
  4. Step 4: Simplify right side
    3,404.64x = 13,817,771.76
  5. Step 5: Solve for x
    x = 13,817,771.76/3,404.64
  6. Step 6: Final answer
    x = 4,058.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.