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Finding the Fourth Proportional to 5,754.60, 8,631.86 and 1,806.16

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Solution

The fourth proportional to 5,754.60, 8,631.86 and 1,806.16 is: 2,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.60 : 8,631.86 = 1,806.16 : x
  2. Step 2: Convert to fraction form
    5,754.60/8,631.86 = 1,806.16/x
  3. Step 3: Cross multiply
    5,754.60x = 8,631.86 × 1,806.16
  4. Step 4: Simplify right side
    5,754.60x = 15,590,520.26
  5. Step 5: Solve for x
    x = 15,590,520.26/5,754.60
  6. Step 6: Final answer
    x = 2,709.23

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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.