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Finding the Fourth Proportional to 3,585.44, 5,375.26 and 1,534.88

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Solution

The fourth proportional to 3,585.44, 5,375.26 and 1,534.88 is: 2,301.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.44 : 5,375.26 = 1,534.88 : x
  2. Step 2: Convert to fraction form
    3,585.44/5,375.26 = 1,534.88/x
  3. Step 3: Cross multiply
    3,585.44x = 5,375.26 × 1,534.88
  4. Step 4: Simplify right side
    3,585.44x = 8,250,379.07
  5. Step 5: Solve for x
    x = 8,250,379.07/3,585.44
  6. Step 6: Final answer
    x = 2,301.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.