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Finding the Fourth Proportional to 5,584.88, 7,710.21 and 3,819.08

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Solution

The fourth proportional to 5,584.88, 7,710.21 and 3,819.08 is: 5,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.88 : 7,710.21 = 3,819.08 : x
  2. Step 2: Convert to fraction form
    5,584.88/7,710.21 = 3,819.08/x
  3. Step 3: Cross multiply
    5,584.88x = 7,710.21 × 3,819.08
  4. Step 4: Simplify right side
    5,584.88x = 29,445,908.81
  5. Step 5: Solve for x
    x = 29,445,908.81/5,584.88
  6. Step 6: Final answer
    x = 5,272.43

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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.