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Finding the Fourth Proportional to 5,748.63, 8,622.94 and 1,853.03

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Solution

The fourth proportional to 5,748.63, 8,622.94 and 1,853.03 is: 2,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.63 : 8,622.94 = 1,853.03 : x
  2. Step 2: Convert to fraction form
    5,748.63/8,622.94 = 1,853.03/x
  3. Step 3: Cross multiply
    5,748.63x = 8,622.94 × 1,853.03
  4. Step 4: Simplify right side
    5,748.63x = 15,978,566.51
  5. Step 5: Solve for x
    x = 15,978,566.51/5,748.63
  6. Step 6: Final answer
    x = 2,779.54

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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.