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Finding the Fourth Proportional to 5,828.71, 8,742.94 and 1,446.12

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Solution

The fourth proportional to 5,828.71, 8,742.94 and 1,446.12 is: 2,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.71 : 8,742.94 = 1,446.12 : x
  2. Step 2: Convert to fraction form
    5,828.71/8,742.94 = 1,446.12/x
  3. Step 3: Cross multiply
    5,828.71x = 8,742.94 × 1,446.12
  4. Step 4: Simplify right side
    5,828.71x = 12,643,340.39
  5. Step 5: Solve for x
    x = 12,643,340.39/5,828.71
  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.