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Finding the Fourth Proportional to 5,244.36, 7,866.46 and 1,784.04

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Solution

The fourth proportional to 5,244.36, 7,866.46 and 1,784.04 is: 2,676.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.36 : 7,866.46 = 1,784.04 : x
  2. Step 2: Convert to fraction form
    5,244.36/7,866.46 = 1,784.04/x
  3. Step 3: Cross multiply
    5,244.36x = 7,866.46 × 1,784.04
  4. Step 4: Simplify right side
    5,244.36x = 14,034,079.30
  5. Step 5: Solve for x
    x = 14,034,079.30/5,244.36
  6. Step 6: Final answer
    x = 2,676.03

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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.