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Finding the Fourth Proportional to 3,539.72, 5,305.43 and 1,458.70

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Solution

The fourth proportional to 3,539.72, 5,305.43 and 1,458.70 is: 2,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.72 : 5,305.43 = 1,458.70 : x
  2. Step 2: Convert to fraction form
    3,539.72/5,305.43 = 1,458.70/x
  3. Step 3: Cross multiply
    3,539.72x = 5,305.43 × 1,458.70
  4. Step 4: Simplify right side
    3,539.72x = 7,739,021.12
  5. Step 5: Solve for x
    x = 7,739,021.12/3,539.72
  6. Step 6: Final answer
    x = 2,186.34

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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.