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Finding the Fourth Proportional to 3,159.29, 4,739.84 and 1,310.06

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Solution

The fourth proportional to 3,159.29, 4,739.84 and 1,310.06 is: 1,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.29 : 4,739.84 = 1,310.06 : x
  2. Step 2: Convert to fraction form
    3,159.29/4,739.84 = 1,310.06/x
  3. Step 3: Cross multiply
    3,159.29x = 4,739.84 × 1,310.06
  4. Step 4: Simplify right side
    3,159.29x = 6,209,462.03
  5. Step 5: Solve for x
    x = 6,209,462.03/3,159.29
  6. Step 6: Final answer
    x = 1,965.46

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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.