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Finding the Fourth Proportional to 5,828.60, 8,744.16 and 2,706.32

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Solution

The fourth proportional to 5,828.60, 8,744.16 and 2,706.32 is: 4,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.60 : 8,744.16 = 2,706.32 : x
  2. Step 2: Convert to fraction form
    5,828.60/8,744.16 = 2,706.32/x
  3. Step 3: Cross multiply
    5,828.60x = 8,744.16 × 2,706.32
  4. Step 4: Simplify right side
    5,828.60x = 23,664,495.09
  5. Step 5: Solve for x
    x = 23,664,495.09/5,828.60
  6. Step 6: Final answer
    x = 4,060.07

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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.