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Finding the Fourth Proportional to 5,244.76, 7,866.24 and 1,546.96

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Solution

The fourth proportional to 5,244.76, 7,866.24 and 1,546.96 is: 2,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.76 : 7,866.24 = 1,546.96 : x
  2. Step 2: Convert to fraction form
    5,244.76/7,866.24 = 1,546.96/x
  3. Step 3: Cross multiply
    5,244.76x = 7,866.24 × 1,546.96
  4. Step 4: Simplify right side
    5,244.76x = 12,168,758.63
  5. Step 5: Solve for x
    x = 12,168,758.63/5,244.76
  6. Step 6: Final answer
    x = 2,320.17

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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.