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Finding the Fourth Proportional to 5,828.64, 8,742.84 and 1,446.12

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Solution

The fourth proportional to 5,828.64, 8,742.84 and 1,446.12 is: 2,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.64 : 8,742.84 = 1,446.12 : x
  2. Step 2: Convert to fraction form
    5,828.64/8,742.84 = 1,446.12/x
  3. Step 3: Cross multiply
    5,828.64x = 8,742.84 × 1,446.12
  4. Step 4: Simplify right side
    5,828.64x = 12,643,195.78
  5. Step 5: Solve for x
    x = 12,643,195.78/5,828.64
  6. Step 6: Final answer
    x = 2,169.15

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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.