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Finding the Fourth Proportional to 3,539.95, 5,310.56 and 1,458.80

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Solution

The fourth proportional to 3,539.95, 5,310.56 and 1,458.80 is: 2,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.95 : 5,310.56 = 1,458.80 : x
  2. Step 2: Convert to fraction form
    3,539.95/5,310.56 = 1,458.80/x
  3. Step 3: Cross multiply
    3,539.95x = 5,310.56 × 1,458.80
  4. Step 4: Simplify right side
    3,539.95x = 7,747,020.20
  5. Step 5: Solve for x
    x = 7,747,020.20/3,539.95
  6. Step 6: Final answer
    x = 2,188.46

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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.