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Finding the Fourth Proportional to 3,539.11, 5,310.02 and 1,319.30

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Solution

The fourth proportional to 3,539.11, 5,310.02 and 1,319.30 is: 1,979.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.11 : 5,310.02 = 1,319.30 : x
  2. Step 2: Convert to fraction form
    3,539.11/5,310.02 = 1,319.30/x
  3. Step 3: Cross multiply
    3,539.11x = 5,310.02 × 1,319.30
  4. Step 4: Simplify right side
    3,539.11x = 7,005,509.39
  5. Step 5: Solve for x
    x = 7,005,509.39/3,539.11
  6. Step 6: Final answer
    x = 1,979.46

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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.