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Finding the Fourth Proportional to 4,088.84, 6,131.84 and 3,826.40

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Solution

The fourth proportional to 4,088.84, 6,131.84 and 3,826.40 is: 5,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088.84 : 6,131.84 = 3,826.40 : x
  2. Step 2: Convert to fraction form
    4,088.84/6,131.84 = 3,826.40/x
  3. Step 3: Cross multiply
    4,088.84x = 6,131.84 × 3,826.40
  4. Step 4: Simplify right side
    4,088.84x = 23,462,872.58
  5. Step 5: Solve for x
    x = 23,462,872.58/4,088.84
  6. Step 6: Final answer
    x = 5,738.27

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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.