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Finding the Fourth Proportional to 5,819.84, 8,718.24 and 5,090.24

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Solution

The fourth proportional to 5,819.84, 8,718.24 and 5,090.24 is: 7,625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819.84 : 8,718.24 = 5,090.24 : x
  2. Step 2: Convert to fraction form
    5,819.84/8,718.24 = 5,090.24/x
  3. Step 3: Cross multiply
    5,819.84x = 8,718.24 × 5,090.24
  4. Step 4: Simplify right side
    5,819.84x = 44,377,933.98
  5. Step 5: Solve for x
    x = 44,377,933.98/5,819.84
  6. Step 6: Final answer
    x = 7,625.28

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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.