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Finding the Fourth Proportional to 5,696.64, 8,546.16 and 1,800.96

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Solution

The fourth proportional to 5,696.64, 8,546.16 and 1,800.96 is: 2,701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.64 : 8,546.16 = 1,800.96 : x
  2. Step 2: Convert to fraction form
    5,696.64/8,546.16 = 1,800.96/x
  3. Step 3: Cross multiply
    5,696.64x = 8,546.16 × 1,800.96
  4. Step 4: Simplify right side
    5,696.64x = 15,391,292.31
  5. Step 5: Solve for x
    x = 15,391,292.31/5,696.64
  6. Step 6: Final answer
    x = 2,701.82

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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.