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Finding the Fourth Proportional to 3,539.83, 5,310.39 and 1,458.68

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Solution

The fourth proportional to 3,539.83, 5,310.39 and 1,458.68 is: 2,188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.83 : 5,310.39 = 1,458.68 : x
  2. Step 2: Convert to fraction form
    3,539.83/5,310.39 = 1,458.68/x
  3. Step 3: Cross multiply
    3,539.83x = 5,310.39 × 1,458.68
  4. Step 4: Simplify right side
    3,539.83x = 7,746,125.84
  5. Step 5: Solve for x
    x = 7,746,125.84/3,539.83
  6. Step 6: Final answer
    x = 2,188.28

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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.